| Publication | Date of Publication | Type |
|---|
| Symmetry analysis of the generalized space and time fractional Korteweg-de Vries equation | 2024-04-25 | Paper |
| On overall behavior of Maxwell mechanical model by the combined Caputo fractional derivative | 2024-04-15 | Paper |
| Nonlinear dynamic behaviors of the generalized (3+1)‐dimensional KP equation | 2024-03-11 | Paper |
| On the generalized time fractional diffusion equation: Symmetry analysis, conservation laws, optimal system and exact solutions | 2024-02-16 | Paper |
| Turań-type inequalities for two hypergeometric supertrigonometric functions associated with Kummer confluent hypergeometric series of first type | 2024-02-07 | Paper |
| New fractional integral formulas and kinetic model associated with the hypergeometric superhyperbolic sine function | 2023-12-21 | Paper |
| A new fractional derivative for solving time fractional diffusion wave equation | 2023-12-20 | Paper |
| Towards new general double integral transform and its applications to differential equations | 2023-12-19 | Paper |
| Turán‐type inequalities for the supertrigonometric functions | 2023-12-19 | Paper |
| Mechanical investigations of local fractional magnetorheological elastomers model on Cantor sets | 2023-06-13 | Paper |
| A new perspective to discuss Korteweg-de Vries-like equation | 2022-10-12 | Paper |
| Study on the generalized k-Hilfer–Prabhakar fractional viscoelastic–plastic model | 2022-09-22 | Paper |
| A new fractional operator of variable order: application in the description of anomalous diffusion | 2022-06-20 | Paper |
| ON ESTIMATING PLASTIC ZONES AND PROPAGATION ANGLES FOR MIXED MODE I/II CRACKS CONSIDERING FRACTAL EFFECT | 2022-03-15 | Paper |
| ON THE GENERALIZED WEIGHTED CAPUTO-TYPE DIFFERENTIAL OPERATOR | 2022-03-15 | Paper |
| GROUP ANALYSIS OF THE TIME FRACTIONAL (3 + 1)-DIMENSIONAL KDV-TYPE EQUATION | 2022-02-01 | Paper |
| NEW PERSPECTIVE AIMED AT LOCAL FRACTIONAL ORDER MEMRISTOR MODEL ON CANTOR SETS | 2022-01-27 | Paper |
| Rheological analysis of the general fractional-order viscoelastic model involving the Miller-Ross kernel | 2021-10-19 | Paper |
| Fundamental results to the weighted Caputo-type differential operator | 2021-10-19 | Paper |
| Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics | 2021-09-17 | Paper |
| General fractional calculus with nonsingular kernels: new prospective on viscoelasticity | 2021-09-17 | Paper |
| Fundamental analysis of the time fractional coupled Burgers-type equations | 2021-09-16 | Paper |
| Numerical solutions and conservation laws of the time fractional coupled WBK‐type system | 2021-07-30 | Paper |
| ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS | 2021-04-09 | Paper |
| On group analysis of the time fractional extended \((2+1)\)-dimensional Zakharov-Kuznetsov equation in quantum magneto-plasmas | 2021-03-06 | Paper |
| An Introduction to Hypergeometric, Supertrigonometric, and Superhyperbolic Functions | 2021-02-09 | Paper |
| On integrability of the higher dimensional time fractional KdV-type equation | 2021-01-21 | Paper |
| On the (N+1)‐dimensional local fractional reduced differential transform method and its applications | 2020-11-30 | Paper |
| A NEW PERSPECTIVE TO STUDY THE THIRD-ORDER MODIFIED KDV EQUATION ON FRACTAL SET | 2020-11-03 | Paper |
| On a fractal LC-electric circuit modeled by local fractional calculus | 2020-10-07 | Paper |
| Abound rogue wave type solutions to the extended \((3+1)\)-dimensional Jimbo-Miwa equation | 2020-10-05 | Paper |
| An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives | 2020-09-10 | Paper |
| On integrability of the extended (3+1)‐dimensional Jimbo‐Miwa equation | 2020-08-19 | Paper |
| Characteristic of the algebraic traveling wave solutions for two extended (2 + 1)-dimensional Kadomtsev–Petviashvili equations | 2020-05-19 | Paper |
| EXACT TRAVELING-WAVE SOLUTIONS FOR ONE-DIMENSIONAL MODIFIED KORTEWEG–DE VRIES EQUATION DEFINED ON CANTOR SETS | 2020-04-17 | Paper |
| A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation | 2020-02-05 | Paper |
| An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics | 2020-01-28 | Paper |
| Fundamental solutions of anomalous diffusion equations with the decay exponential kernel | 2019-10-25 | Paper |
| On integrability of the time fractional nonlinear heat conduction equation | 2019-09-19 | Paper |
| Local fractional Laplace variational iteration method for solving linear partial differential equations with local fractional derivative | 2019-08-23 | Paper |
| On local fractional continuous wavelet transform | 2019-08-16 | Paper |
| General Fractional Derivatives with Applications in Viscoelasticity | 2019-08-12 | Paper |
| On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium | 2019-07-12 | Paper |
| Classifications and duality relations for several integral transforms | 2019-05-09 | Paper |
| General Fractional Derivatives | 2019-05-06 | Paper |
| An efficient computational technique for local fractional heat conduction equations in fractal media | 2019-04-24 | Paper |
| Applications of a novel integral transform to partial differential equations | 2019-04-23 | Paper |
| A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach | 2019-03-19 | Paper |
| Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation | 2019-02-14 | Paper |
| Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets | 2019-02-14 | Paper |
| Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method | 2019-02-14 | Paper |
| Local fractional variational iteration method for local fractional Poisson equations in two independent variables | 2019-02-14 | Paper |
| Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators | 2019-02-14 | Paper |
| Local fractional Sumudu transform with application to IVPs on Cantor sets | 2019-02-14 | Paper |
| Fractal dynamical model of vehicular traffic flow within the local fractional conservation laws | 2019-02-14 | Paper |
| Local fractional variational iteration method for inhomogeneous Helmholtz equation within local fractional derivative operator | 2019-02-08 | Paper |
| Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow | 2019-02-08 | Paper |
| Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators | 2019-02-01 | Paper |
| Fundamental solutions of the general fractional‐order diffusion equations | 2019-01-31 | Paper |
| An anomalous diffusion model based on a new general fractional operator with the Mittag-Leffler function of Wiman type | 2019-01-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4560749 | 2018-12-07 | Paper |
| A new computational approach for solving nonlinear local fractional PDEs | 2018-05-09 | Paper |
| Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator | 2018-01-31 | Paper |
| On exact traveling-wave solutions for local fractional Korteweg-de Vries equation | 2018-01-15 | Paper |
| A new insight into complexity from the local fractional calculus view point: modelling growths of populations | 2017-12-14 | Paper |
| On the local fractional LWR model in fractal traffic flows in the entropy condition | 2017-12-14 | Paper |
| Generation of discrete integrable systems and some algebro-geometric properties of related discrete lattice equations | 2017-12-12 | Paper |
| Residual power series method for time-fractional Schrödinger equations | 2017-12-06 | Paper |
| A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations | 2017-12-06 | Paper |
| A new numerical technique for local fractional diffusion equation in fractal heat transfer | 2017-11-15 | Paper |
| A New Family of the Local Fractional PDEs | 2017-11-10 | Paper |
| Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations | 2017-11-10 | Paper |
| The RC Circuit Described by Local Fractional Differential Equations | 2017-11-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5354573 | 2017-09-04 | Paper |
| Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations | 2017-08-09 | Paper |
| A new fractional derivative involving the normalized sinc function without singular kernel | 2017-01-08 | Paper |
| Nonlinear dynamics for local fractional Burgers' equation arising in fractal flow | 2016-11-09 | Paper |
| A new integral transform operator for solving the heat-diffusion problem | 2016-11-07 | Paper |
| On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave | 2016-05-02 | Paper |
| Initial-Boundary Value Problems for Local Fractional Laplace Equation Arising in Fractal Electrostatics | 2016-04-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2790399 | 2016-03-04 | Paper |
| Some new applications for heat and fluid flows via fractional derivatives without singular kernel | 2016-01-21 | Paper |
| Maxwell's equations on Cantor sets: a local fractional approach | 2016-01-15 | Paper |
| Local fractional similarity solution for the diffusion equation defined on Cantor sets | 2015-09-01 | Paper |
| Application of the Local Fractional Fourier Series to Fractal Signals | 2015-07-03 | Paper |
| Local fractional discrete wavelet transform for solving signals on Cantor sets | 2014-11-24 | Paper |
| Systems of Navier-Stokes equations on Cantor sets | 2014-11-24 | Paper |
| A new Neumann series method for solving a family of local fractional Fredholm and Volterra integral equations | 2014-10-13 | Paper |
| One-phase problems for discontinuous heat transfer in fractal media | 2014-10-13 | Paper |
| Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives | 2014-08-27 | Paper |
| Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis | 2014-07-11 | Paper |
| Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method | 2014-07-08 | Paper |
| Approximate solutions for local fractional linear transport equations arising in fractal porous media | 2014-06-26 | Paper |
| Local fractional Poisson and Laplace equations with applications to electrostatics in fractal domain | 2014-06-26 | Paper |
| Approximation solutions for local fractional Schrödinger equation in the one-dimensional Cantorian system | 2014-06-26 | Paper |
| Analysis of fractal wave equations by local fractional Fourier series method | 2014-06-26 | Paper |
| Helmholtz and diffusion equations associated with local fractional derivative operators involving the Cantorian and Cantor-type cylindrical coordinates | 2014-06-26 | Paper |
| Application of the local fractional series expansion method and the variational iteration method to the Helmholtz equation involving local fractional derivative operators | 2014-06-23 | Paper |
| Mappings for special functions on Cantor sets and special integral transforms via local fractional operators | 2014-06-23 | Paper |
| Local fractional series expansion method for solving wave and diffusion equations on Cantor sets | 2014-06-23 | Paper |
| Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative | 2014-06-23 | Paper |
| A local fractional variational iteration method for Laplace equation within local fractional operators | 2013-09-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4921007 | 2013-05-22 | Paper |
| Local fractional Fourier series with application to wave equation in fractal vibrating string | 2013-02-04 | Paper |
| A New Viewpoint to the Discrete Approximation: Discrete Yang-Fourier Transforms of Discrete-time Fractal Signal | 2011-07-06 | Paper |
| A generalized model for Yang-Fourier transforms in fractal space | 2011-06-18 | Paper |
| Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative | 2011-06-15 | Paper |
| A short introduction to local fractional complex analysis | 2011-06-15 | Paper |
| Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function | 2011-06-14 | Paper |
| Generalized Local Fractional Taylor's Formula with Local Fractional Derivative | 2011-06-13 | Paper |
