| Publication | Date of Publication | Type |
|---|
| Some results on the existence of fractal-fractional ODE with power law | 2024-01-11 | Paper |
| Threshold dynamics for an age‐structured heroin epidemic model with distributed delays | 2024-01-08 | Paper |
| Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey | 2023-12-18 | Paper |
| Numerical and mathematical analysis of induction motor by means of AB–fractal–fractional differentiation actuated by drilling system | 2023-12-12 | Paper |
| Dual fractional modeling of rate type fluid through <scp>non‐local</scp> differentiation | 2023-12-12 | Paper |
| Numerical solution of <scp>ABC</scp> space–time fractional distributed order reaction–diffusion equation | 2023-12-12 | Paper |
| Reproducing kernel method with global derivative | 2023-11-14 | Paper |
| Strange fractal attractors and optimal chaos of memristor-memcapacitor via non-local differentials | 2023-09-12 | Paper |
| Analytical and numerical analysis of damped harmonic oscillator model with nonlocal operators | 2023-07-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6165505 | 2023-07-04 | Paper |
| Numerical Methods for Fractal-Fractional Differential Equations and Engineering | 2023-06-26 | Paper |
| A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative | 2023-06-13 | Paper |
| Integral Transforms and Engineering | 2023-05-02 | Paper |
| SOME CHAOTIC MATHEMATICAL MODELS WITH STOCHASTIC RESETTING | 2023-03-06 | Paper |
| EXISTENCE RESULTS AND NUMERICAL STUDY ON NOVEL CORONAVIRUS 2019-NCOV/ SARS-COV-2 MODEL USING DIFFERENTIAL OPERATORS BASED ON THE GENERALIZED MITTAG-LEFFLER KERNEL AND FIXED POINTS | 2023-03-06 | Paper |
| Piecewise derivatives versus short memory concept: analysis and application | 2023-03-03 | Paper |
| Analysis of Cauchy problem with fractal-fractional differential operators | 2023-03-02 | Paper |
| New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points | 2022-11-02 | Paper |
| Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator | 2022-08-29 | Paper |
| Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden-Fowler equation generated by derivative with non-singular kernel | 2022-08-25 | Paper |
| An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation | 2022-08-25 | Paper |
| Mathematical model of survival of fractional calculus, critics and their impact: how singular is our world? | 2022-08-25 | Paper |
| On a more general fractional integration by parts formulae and applications | 2022-08-12 | Paper |
| Mathematical analysis of dengue fever outbreak by novel fractional operators with field data | 2022-08-02 | Paper |
| Mathematical modeling and analysis of COVID-19: a study of new variant omicron | 2022-07-22 | Paper |
| The role of power decay, exponential decay and Mittag-Leffler function's waiting time distribution: application of cancer spread | 2022-07-05 | Paper |
| Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties | 2022-06-29 | Paper |
| A new derivative with normal distribution kernel: theory, methods and applications | 2022-06-17 | Paper |
| Fractional stochastic differential equations. Applications to Covid-19 modeling | 2022-05-19 | Paper |
| A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing | 2022-05-16 | Paper |
| Correction to: ``New insights on novel coronavirus 2019-nCoV/SARS-CoV-2 modelling in the aspect of fractional derivatives and fixed points | 2022-04-25 | Paper |
| Rhythmic behaviors of the human heart with piecewise derivative | 2022-04-25 | Paper |
| Deterministic-stochastic modeling: a new direction in modeling real world problems with crossover effect | 2022-04-25 | Paper |
| Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations | 2022-04-14 | Paper |
| Competition model in groundwater: three boreholes taping water out from same aquifer | 2022-04-06 | Paper |
| Computational study of multi-species fractional reaction-diffusion system with ABC operator | 2022-04-06 | Paper |
| A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative | 2022-04-06 | Paper |
| Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus | 2022-04-06 | Paper |
| New multi-scroll attractors obtained via Julia set mapping | 2022-03-31 | Paper |
| The dynamics of COVID-19 with quarantined and isolation | 2022-03-29 | Paper |
| Optimal control for cancer treatment mathematical model using Atangana-Baleanu-Caputo fractional derivative | 2022-03-16 | Paper |
| Ulam-Hyers-Rassias stability for nonlinear \(\Psi\)-Hilfer stochastic fractional differential equation with uncertainty | 2022-03-16 | Paper |
| Mathematical model of COVID-19 spread in Turkey and south Africa: theory, methods, and applications | 2022-03-07 | Paper |
| LOCAL AND NONLOCAL DIFFERENTIAL OPERATORS: A COMPARATIVE STUDY OF HEAT AND MASS TRANSFERS IN MHD OLDROYD-B FLUID WITH RAMPED WALL TEMPERATURE | 2022-02-02 | Paper |
| CAUCHY PROBLEMS WITH FRACTAL–FRACTIONAL OPERATORS AND APPLICATIONS TO GROUNDWATER DYNAMICS | 2022-02-02 | Paper |
| ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS | 2022-02-02 | Paper |
| Effect of local and non-local kernels on heat transfer of mixed convection flow of the Maxwell fluid | 2022-01-24 | Paper |
| Corrigendum: New numerical approach for fractional differential equations | 2021-12-15 | Paper |
| Fractional and fractal advection-dispersion model | 2021-12-08 | Paper |
| Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel | 2021-12-08 | Paper |
| Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems | 2021-12-08 | Paper |
| Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative | 2021-10-15 | Paper |
| Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System | 2021-10-06 | Paper |
| On solutions of fractal fractional differential equations | 2021-09-17 | Paper |
| On the fuzzy stability results for fractional stochastic Volterra integral equation | 2021-09-17 | Paper |
| Pata type contractions involving rational expressions with an application to integral equations | 2021-09-17 | Paper |
| Fractal fractional derivative operator method on MCF-7 cell line dynamics | 2021-09-17 | Paper |
| Shifted Vieta‐Fibonacci polynomials for the fractal‐fractional fifth‐order KdV equation | 2021-08-18 | Paper |
| Numerical solution of nonlinear fractal‐fractional optimal control problems by Legendre polynomials | 2021-07-30 | Paper |
| New chaotic attractors: Application of fractal‐fractional differentiation and integration | 2021-07-30 | Paper |
| Mathematical Modelling and Analysis of Fractional Epidemic Models Using Derivative with Exponential Kernel | 2021-06-22 | Paper |
| Fractional Dynamics of HIV-AIDS and Cryptosporidiosis with Lognormal Distribution | 2021-06-22 | Paper |
| Retraction notice to: ``Power and exponentials laws: theory and application | 2021-06-03 | Paper |
| Qualitative analysis of solutions of obstacle elliptic inclusion problem with fractional Laplacian | 2021-05-19 | Paper |
| Retraction notice to: ``New numerical method for ordinary differential equations: Newton polynomial | 2021-04-23 | Paper |
| Retraction notice to: ``Corrigendum to: `New numerical method for ordinary differential equations: Newton polynomial{'} | 2021-04-23 | Paper |
| Solving fractional pantograph delay equations by an effective computational method | 2021-03-06 | Paper |
| Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations | 2021-02-15 | Paper |
| A comparative analysis of electromechanical model of piezoelectric actuator through Caputo–Fabrizio and Atangana–Baleanu fractional derivatives | 2021-01-12 | Paper |
| New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation | 2021-01-12 | Paper |
| Mathematical analysis and computational experiments for an epidemic system with nonlocal and nonsingular derivative | 2020-12-03 | Paper |
| Validity of fractal derivative to capturing chaotic attractors | 2020-12-03 | Paper |
| Modeling attractors of chaotic dynamical systems with fractal-fractional operators | 2020-12-02 | Paper |
| A fractional mathematical model of breast cancer competition model | 2020-12-01 | Paper |
| Differential and integral operators with constant fractional order and variable fractional dimension | 2020-12-01 | Paper |
| Analysis of a new partial integro-differential equation with mixed fractional operators | 2020-12-01 | Paper |
| On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory | 2020-12-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5136972 | 2020-11-30 | Paper |
| Mathematical analysis of memristor through fractal‐fractional differential operators: A numerical study | 2020-11-09 | Paper |
| A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation | 2020-10-31 | Paper |
| New numerical method and application to Keller-Segel model with fractional order derivative | 2020-09-29 | Paper |
| Derivation of a groundwater flow model within leaky and self-similar aquifers: beyond Hantush model | 2020-09-29 | Paper |
| A NEW DEFY FOR ITERATION METHODS | 2020-09-11 | Paper |
| Necessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana–Baleanu’s Derivatives | 2020-06-24 | Paper |
| Existence and Uniqueness Results for a Novel Complex Chaotic Fractional Order System | 2020-06-24 | Paper |
| On the Chaotic Pole of Attraction with Nonlocal and Nonsingular Operators in Neurobiology | 2020-06-24 | Paper |
| Modulating Chaotic Oscillations in Autocatalytic Reaction Networks Using Atangana–Baleanu Operator | 2020-06-24 | Paper |
| Model of Coupled System of Fractional Reaction-Diffusion Within a New Fractional Derivative Without Singular Kernel | 2020-06-24 | Paper |
| Upwind-Based Numerical Approximation of a Space-Time Fractional Advection-Dispersion Equation for Groundwater Transport Within Fractured Systems | 2020-06-24 | Paper |
| An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels | 2020-06-04 | Paper |
| A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment | 2020-05-18 | Paper |
| Augmented upwind numerical schemes for a fractional advection-dispersion equation in fractured groundwater systems | 2020-05-13 | Paper |
| Models of fluid flowing in non-conventional media: new numerical analysis | 2020-05-13 | Paper |
| Dynamics of traveling waves of variable order hyperbolic Liouville equation: regulation and control | 2020-05-13 | Paper |
| Drawdown in prolate spheroidal-spherical coordinates obtained via Green's function and perturbation methods | 2020-02-24 | Paper |
| Corrigendum to: ``New numerical method for ordinary differential equations: Newton polynomial | 2020-02-18 | Paper |
| Retracted: New numerical method for ordinary differential equations: Newton polynomial | 2020-02-18 | Paper |
| Biological Model of Dengue Spread with Non-Markovian Properties | 2020-02-07 | Paper |
| Extension of the Sumudu homotopy perturbation method to an attractor for one-dimensional Keller-Segel equations | 2019-12-03 | Paper |
| Numerical Methods for Fractional Differentiation | 2019-10-09 | Paper |
| Generalised class of time fractional black Scholes equation and numerical analysis | 2019-08-20 | Paper |
| High-order solvers for space-fractional differential equations with Riesz derivative | 2019-08-20 | Paper |
| Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel | 2019-08-20 | Paper |
| Approximate solution of tuberculosis disease population dynamics model | 2019-08-16 | Paper |
| A note on the triple Laplace transform and its applications to some kind of third-order differential equation | 2019-08-16 | Paper |
| Numerical solution of a kind of fractional parabolic equations via two difference schemes | 2019-08-16 | Paper |
| A new approach to capture heterogeneity in groundwater problem: An illustration with an Earth equation | 2019-08-16 | Paper |
| A new model of groundwater flow within an unconfined aquifer: application of Caputo-Fabrizio fractional derivative | 2019-07-30 | Paper |
| Chaotic behaviour in system of noninteger-order ordinary differential equations | 2019-07-19 | Paper |
| Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws | 2019-06-28 | Paper |
| Blind in a commutative world: simple illustrations with functions and chaotic attractors | 2019-06-28 | Paper |
| Fractional derivatives with no-index law property: application to chaos and statistics | 2019-06-28 | Paper |
| RETRACTED: Power and exponentials laws: theory and application | 2019-06-20 | Paper |
| Modelling the movement of groundwater pollution with variable order derivative | 2019-05-09 | Paper |
| A fractional epidemiological model for computer viruses pertaining to a new fractional derivative | 2019-04-30 | Paper |
| New numerical analysis of Riemann-Liouville time-fractional Schrödinger with power, exponential decay, and Mittag-Leffler laws | 2019-04-30 | Paper |
| Novel analysis of the fractional Zika model using the Adams type predictor-corrector rule for non-singular and non-local fractional operators | 2019-04-24 | Paper |
| On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation | 2019-03-19 | Paper |
| Capturing complexities with composite operator and differential operators with non-singular kernel | 2019-03-11 | Paper |
| On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems | 2019-03-11 | Paper |
| Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu | 2019-02-15 | Paper |
| Retracted: New two step Laplace Adam‐Bashforth method for integer a noninteger order partial differential equations | 2019-02-15 | Paper |
| Novel approach for dealing with partial differential equations with mixed derivatives | 2019-02-14 | Paper |
| Analytical solutions of a space-time fractional derivative of groundwater flow equation | 2019-02-14 | Paper |
| On the Hamilton-Jacobi-Bellman equation by the homotopy perturbation method | 2019-02-14 | Paper |
| Modelling the nonlinear wave motion within the scope of the fractional calculus | 2019-02-14 | Paper |
| A modified groundwater flow model using the space time Riemann-Liouville fractional derivatives approximation | 2019-02-14 | Paper |
| New iteration methods for time-fractional modified nonlinear Kawahara equation | 2019-02-14 | Paper |
| On the fractional Nagumo equation with nonlinear diffusion and convection | 2019-02-14 | Paper |
| Extension of matched asymptotic method to fractional boundary layers problems | 2019-02-08 | Paper |
| On the agaciro equation via the scope of Green function | 2019-02-08 | Paper |
| On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives | 2019-02-08 | Paper |
| On the generalized mass transport equation to the concept of variable fractional derivative | 2019-02-08 | Paper |
| New numerical approach for fractional differential equations | 2019-01-29 | Paper |
| First integral method for non-linear differential equations with conformable derivative | 2019-01-29 | Paper |
| Numerical analysis for the Klein-Gordon equation with mass parameter | 2019-01-15 | Paper |
| Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives | 2019-01-15 | Paper |
| Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions | 2018-12-07 | Paper |
| Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation | 2018-11-29 | Paper |
| Solitary wave solution and conservation laws of higher dimensional Zakharov‐Kuznetsov equation with nonlinear self‐adjointness | 2018-11-29 | Paper |
| New fractional derivatives applied to the Korteweg-de Vries and Korteweg-de Vries-Burgers equations | 2018-11-05 | Paper |
| New fractional derivatives with non-singular kernel applied to the Burgers equation | 2018-08-31 | Paper |
| On generalized fractional kinetic equations involving generalized Bessel function of the first kind | 2018-08-27 | Paper |
| Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method | 2018-08-27 | Paper |
| Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems | 2018-08-02 | Paper |
| Robustness of fractional difference schemes via the Caputo subdiffusion-reaction equations | 2018-07-30 | Paper |
| On the solution of an acoustic wave equation with variable-order derivative loss operator | 2018-06-27 | Paper |
| Conservatory of Kaup-Kupershmidt equation to the concept of fractional derivative with and without singular kernel | 2018-05-29 | Paper |
| On Uncertain-Fractional Modeling: The Future Way of Modeling Real-World Problems | 2018-03-26 | Paper |
| Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel | 2018-03-14 | Paper |
| Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative | 2018-02-02 | Paper |
| Stability and convergence of the space fractional variable-order Schrödinger equation | 2018-01-31 | Paper |
| Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations | 2018-01-31 | Paper |
| Huge analysis of Hepatitis C model within the scope of fractional calculus | 2017-12-12 | Paper |
| Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws | 2017-11-13 | Paper |
| Fractal-fractional differentiation and integration: connecting fractal calculus and fractional calculus to predict complex system | 2017-11-13 | Paper |
| Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel | 2017-11-10 | Paper |
| Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense | 2017-11-02 | Paper |
| More generalized groundwater model with space‐time caputo Fabrizio fractional differentiation | 2017-10-06 | Paper |
| Exact solution of the time-fractional groundwater flow equation within a leaky aquifer equation | 2017-07-03 | Paper |
| On the stability of iteration methods for special solution of time-fractional generalized nonlinear ZK-BBM equation | 2017-07-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268508 | 2017-06-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5738030 | 2017-05-31 | Paper |
| Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order | 2017-05-12 | Paper |
| Controlling the wave movement on the surface of shallow water with the Caputo-Fabrizio derivative with fractional order | 2017-05-12 | Paper |
| Analysis of non-homogeneous heat model with new trend of derivative with fractional order | 2017-05-12 | Paper |
| Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel | 2017-01-05 | Paper |
| On the stability and convergence of the time-fractional variable order telegraph equation | 2016-12-05 | Paper |
| New numerical scheme of Atangana-Baleanu fractional integral: an application to groundwater flow within leaky aquifer | 2016-10-27 | Paper |
| A novel approach of variable order derivative Theory and Methods | 2016-10-21 | Paper |
| New properties of conformable derivative | 2016-10-04 | Paper |
| Analysis of the Keller-Segel model with a fractional derivative without singular kernel | 2016-06-15 | Paper |
| On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave | 2016-05-02 | Paper |
| Derivative with two fractional orders: New door of investigation toward revolution in fractional calculus | 2016-04-13 | Paper |
| On the new fractional derivative and application to nonlinear Baggs and Freedman model | 2016-03-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3461764 | 2016-01-18 | Paper |
| A model of the groundwater flowing within a leaky aquifer using the concept of local variable order derivative | 2015-12-04 | Paper |
| A novel double integral transform and its applications | 2015-12-04 | Paper |
| Analytical solutions of the space-time fractional derivative of advection dispersion equation | 2014-11-24 | Paper |
| Existence and numerical solution of the Volterra fractional integral equations of the second kind | 2014-11-24 | Paper |
| A possible generalization of acoustic wave equation using the concept of perturbed derivative order | 2014-11-24 | Paper |
| Solving partial differential equation with space- and time-fractional derivatives via homotopy decomposition method | 2014-10-13 | Paper |
| A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities | 2014-10-13 | Paper |
| The use of fractional order derivative to predict the groundwater flow | 2014-10-13 | Paper |
| Two-dimension hydrodynamic dispersion equation with seepage velocity and dispersion coefficient as function of space and time | 2014-06-23 | Paper |
| Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method | 2014-06-23 | Paper |
| A generalized groundwater flow equation using the concept of variable-order derivative | 2014-04-10 | Paper |
| Nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations within Sumudu transform | 2013-09-19 | Paper |
| A note on fractional order derivatives and table of fractional derivatives of some special functions | 2013-09-19 | Paper |
| A generalized version of a low velocity impact between a rigid sphere and a transversely isotropic strain-hardening plate supported by a rigid substrate using the concept of noninteger derivatives | 2013-09-19 | Paper |
| Stability and convergence of a time-fractional variable order Hantush equation for a deformable aquifer | 2013-09-19 | Paper |
| The use of Sumudu transform for solving certain nonlinear fractional heat-like equations | 2013-09-19 | Paper |
| The time-fractional coupled-Korteweg-de-Vries equations | 2013-09-19 | Paper |
