Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative

In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem. The arguments are based upon the Banach cont...

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Bibliographic Details
Main Authors: Benchohra Mouffak, Bouriah Soufyane, Nieto Juan J.
Format: Article
Language:English
Published: De Gruyter 2019-10-01
Series:Demonstratio Mathematica
Subjects:
riemann-liouville fractional derivative
initial value problem
existence
uniqueness
ulam stability
fixed point theorem
26a33
Online Access:https://doi.org/10.1515/dema-2019-0032

Internet

https://doi.org/10.1515/dema-2019-0032

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