Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations

Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations

Abstract In this manuscript, we examine the existence and the Ulam stability of solutions for a class of boundary value problems for nonlinear implicit fractional differential equations with instantaneous impulses in Banach spaces. The results are based on fixed point theorems of Darbo and Mönch ass...

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Bibliographic Details
Main Authors: Abdelkrim Salim, Mouffak Benchohra, Erdal Karapınar, Jamal Eddine Lazreg
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Advances in Difference Equations
Subjects:
Boundary value problem
Generalized Hilfer fractional derivative
Fractional integral
Impulses
Fixed point
Measure of noncompactness
Online Access:http://link.springer.com/article/10.1186/s13662-020-03063-4

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