ON SOLUTIONS OF FRACTAL FRACTIONAL DIFFERENTIAL EQUATIONS
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer Inst Mathematical Sciences-Aims
Access Rights
info:eu-repo/semantics/openAccess
Abstract
New class of differential and integral operators with fractional order and fractal dimension have been introduced very recently and gave birth to new class of differential and integral equations. In this paper, we derive exact solution of some important ordinary differential equations where the differential operators are the fractal-fractional. We presented a new numerical scheme to obtain solution in the nonlinear case. We presented the numerical simulation for different values of fractional orders and fractal dimension.
Description
Keywords
Factal fractional derivatives, power law kernel, exponential decay kernel, Mittag-Leffler kernel, Laplace transform
Journal or Series
Discrete and Continuous Dynamical Systems-Series S
WoS Q Value
Q2
Scopus Q Value
Q1
Volume
14
Issue
10
