Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives
From MaRDI portal
Publication:4627635
DOI10.1063/1.5084035zbMath1409.34006OpenAlexW2914754930WikidataQ92054407 ScholiaQ92054407MaRDI QIDQ4627635
Publication date: 11 March 2019
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5084035
Related Items (40)
A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative ⋮ A fractional system of delay differential equation with nonsingular kernels in modeling hand-foot-mouth disease ⋮ Application of new quintic polynomial B-spline approximation for numerical investigation of Kuramoto-Sivashinsky equation ⋮ Lie symmetry analysis of conformable differential equations ⋮ An efficient numerical technique for a biological population model of fractional order ⋮ Orthonormal shifted discrete Chebyshev polynomials: application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system ⋮ A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow ⋮ Approximate solutions of Atangana-Baleanu variable order fractional problems ⋮ Stability analysis of five-grade Leishmania epidemic model with harmonic mean-type incidence rate ⋮ Analysis of MHD Couette flow by fractal-fractional differential operators ⋮ A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing ⋮ A fractal fractional model for computer virus dynamics ⋮ On solutions of an obesity model in the light of new type fractional derivatives ⋮ ANALYSIS OF TIME-FRACTIONAL BURGERS AND DIFFUSION EQUATIONS BY USING MODIFIEDq-HATM ⋮ SOME FURTHER EXTENSIONS CONSIDERING DISCRETE PROPORTIONAL FRACTIONAL OPERATORS ⋮ A ROBUST OPERATIONAL MATRIX OF NONSINGULAR DERIVATIVE TO SOLVE FRACTIONAL VARIABLE-ORDER DIFFERENTIAL EQUATIONS ⋮ A reaction-diffusion HFMD model with nonsmooth treatment function ⋮ Analysis and applications of the proportional Caputo derivative ⋮ Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function ⋮ New numerical algorithm to solve variable-order fractional integrodifferential equations in the sense of Hilfer-Prabhakar derivative ⋮ ESTIMATION OF FRACTAL DIMENSION OF FRACTIONAL CALCULUS OF THE HÖLDER CONTINUOUS FUNCTIONS ⋮ A computational approach for boundary layer flow and heat transfer of fractional Maxwell fluid ⋮ A comparative study of heat transfer analysis of MHD Maxwell fluid in view of local and nonlocal differential operators ⋮ Modeling and numerical investigation of fractional‐order bovine babesiosis disease ⋮ On solutions of time‐fractional advection–diffusion equation ⋮ Computational analysis of the third order dispersive fractional <scp>PDE</scp> under exponential‐decay and <scp>Mittag‐Leffler</scp> type kernels ⋮ Study of fractional integro‐differential equations under Caputo‐Fabrizio derivative ⋮ Reproducing kernel Hilbert space method for the numerical solutions of fractional cancer tumor models ⋮ A numerical study on fractional differential equation with population growth model ⋮ A comparative study on <scp>non‐Newtonian</scp> fractional‐order Brinkman type fluid with two different kernels ⋮ An analysis of a mathematical fractional model of hybrid viscous nanofluids and its application in heat and mass transfer ⋮ New exact solution of the conformable Gilson–Pickering equation using the new modified Kudryashov’s method ⋮ Hermite-Hadamard and fractional integral inequalities for interval-valued generalized \(p\)-convex function ⋮ On solutions of fractal fractional differential equations ⋮ Simultaneous learning coefficient matrix and affinity graph for multiple kernel clustering ⋮ A numerical investigation of Caputo time fractional Allen-Cahn equation using redefined cubic B-spline functions ⋮ Unnamed Item ⋮ Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix ⋮ IMPLEMENTING REPRODUCING KERNEL METHOD TO SOLVE SINGULARLY PERTURBED CONVECTION-DIFFUSION PARABOLIC PROBLEMS ⋮ A FRACTAL FRACTIONAL MODEL FOR CERVICAL CANCER DUE TO HUMAN PAPILLOMAVIRUS INFECTION
Cites Work
- A numerical approach for solving the fractional Fisher equation using Chebyshev spectral collocation method
- Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
- A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM)
- Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
- Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws
- Analytical study for time and time-space fractional Burgers' equation
- A new reproducing kernel collocation method for nonlocal fractional boundary value problems with non-smooth solutions
- On the theory of the continual integro-differentiation operator
- A reproducing kernel enhanced approach for peridynamic solutions
- Mittag-Leffler-Gaussian distribution: theory and application to real data
- Fractional derivatives with no-index law property: application to chaos and statistics
- Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation
- Computational algorithm for solving Fredholm time-fractional partial integrodifferential equations of Dirichlet functions type with error estimates
- A new derivative with normal distribution kernel: theory, methods and applications
- Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel
- Stability analysis and optimal control of a fractional human African trypanosomiasis model
- Numerical simulations of multilingual competition dynamics with nonlocal derivative
- Variational calculus involving nonlocal fractional derivative with Mittag-Leffler kernel
- Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
- Analytical and numerical solutions of electrical circuits described by fractional derivatives
- Analysis and numerical simulation of multicomponent system with Atangana-Baleanu fractional derivative
- Numerical patterns in reaction-diffusion system with the Caputo and Atangana-Baleanu fractional derivatives
- A peculiar application of Atangana-Baleanu fractional derivative in neuroscience: chaotic burst dynamics
- Modeling the transmission dynamics of flagellated protozoan parasite with Atangana-Baleanu derivative: application of 3/8 Simpson and Boole's numerical rules for fractional integral
- Comparative study of a cubic autocatalytic reaction via different analysis methods
- Triple pendulum model involving fractional derivatives with different kernels
- On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
- Engine oil based generalized brinkman‐type nano‐liquid with molybdenum disulphide nanoparticles of spherical shape: Atangana‐Baleanu fractional model
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
- On solutions to the second‐order partial differential equations by two accurate methods
- Chaos in a nonlinear Bloch system with Atangana–Baleanu fractional derivatives
- Solutions of time‐fractional Tricomi and Keldysh equations of Dirichlet functions types in Hilbert space
This page was built for publication: Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives