Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces

Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces

In the present article, we prove some results concerning the existence of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with non-instantaneous impulses and generalized Hilfer fractional derivative in Banach spaces. The results are based on...

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Bibliographic Details
Main Authors: Abdelkrim Salim, Mouffak Benchohra, Jamal Eddine Lazreg, Johnny Henderson
Format: Article
Language:English
Published: ATNAA 2020-11-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
generalized hilfer fractional derivative
initial value problem
existence
measure of noncompactness
non-instantaneous impulses
ulam stability
banach space
fixed point
implicit fractional differential equation
Online Access:https://dergipark.org.tr/tr/download/article-file/1394837

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https://dergipark.org.tr/tr/download/article-file/1394837

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