Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space

Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space

Abstract The purpose of this paper is to provide sufficient conditions for the local and global existence of solutions for the general nonlinear distributed-order fractional differential equations in the time domain. Also, we provide sufficient conditions for the uniqueness of the solutions. Further...

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Bibliographic Details
Main Authors: Tahereh Eftekhari, Jalil Rashidinia, Khosrow Maleknejad
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:Advances in Difference Equations
Subjects:
Distributed-order fractional derivative
Fixed point theorem
Operational matrices
The second kind Chebyshev wavelets
Shifted fractional-order Jacobi polynomials
Error bounds
Online Access:https://doi.org/10.1186/s13662-021-03617-0

Internet

https://doi.org/10.1186/s13662-021-03617-0

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