On abstract Hilfer fractional integrodifferential equations with boundary conditions

On abstract Hilfer fractional integrodifferential equations with boundary conditions

In this paper, we study a Cauchy-type problem for Hilfer fractional integrodifferential equations with boundary conditions. The existence of solutions for the given problem is proved by applying measure of noncompactness technique in an abstract weighted space. Moreover, we use generalized Gronwall...

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Bibliographic Details
Main Authors: Sabri T.M. Thabet, Bashir Ahmad, Ravi P. Agarwal
Format: Article
Language:English
Published: Emerald Publishing 2020-08-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Hilfer fractional integrodifferential equations
Boundary conditions
Mönch fixed point theorem
Measure of noncompactness
Existence
Continuous dependence
Online Access:https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.03.001/full/pdf

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https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.03.001/full/pdf

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