Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets-Reference-Cited by-同舟云学术

Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets

Published:2020-10 Issue: Volume:139 Page:110076
ISSN:0960-0779
Container-title:Chaos, Solitons & Fractals
language:en
Short-container-title:Chaos, Solitons & Fractals

Author:

Rayal Ashish,Ram Verma Sag^ORCID

Publisher

Elsevier BV

Subject

General Mathematics,General Physics and Astronomy,Statistical and Nonlinear Physics,Applied Mathematics

Reference80 articles.

1. On fractional integrals and derivatives;Kober;Quart J Math,1940

2. Fractional calculus: an introduction for physicists;Herrmann,2014

3. A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws;Kumar;Int J Heat Mass Transf,2019

4. On fractional calculus and fractional multipoles in electromagnetism;Engheta;Antenn Propag,1996

5. Fractional calculus: some basic problems in continuum and statistical mechanics;Mainardi;Fracta Fracti Calcu Continu Mecha,1997

Cited by 32 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamical analysis and numerical treatment of pond pollution model endowed with Caputo fractional derivative using effective wavelets technique;International Journal of Dynamics and Control;2024-09-12

2. Numerical solution of fractal‐fractional differential equations system via Vieta‐Fibonacci polynomials fractal‐fractional integral operators;International Journal of Numerical Modelling: Electronic Networks, Devices and Fields;2024-08-28

3. Fractional Legendre wavelet approach resolving multi-scale optimal control problems involving Caputo-Fabrizio derivative;Numerical Algorithms;2024-07-10

4. Chelyshkov wavelet method for solving multidimensional variable order fractional optimal control problem;Journal of Applied Mathematics and Computing;2024-04-29

5. A new modern scheme for solving fractal–fractional differential equations based on deep feedforward neural network with multiple hidden layer;Mathematics and Computers in Simulation;2024-04