A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations

Xiao-Li Ding; Bashir Ahmad

doi:10.1186/s13662-018-1548-4

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$A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations$

Journal article

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A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations

Xiao-Li Ding and Bashir Ahmad

Advances in difference equations, Vol.2018(1), pp.1-8

14/03/2018

DOI: https://doi.org/10.1186/s13662-018-1548-4

Abstract

Analysis

Difference and Functional Equations

Functional Analysis

general

Mathematics

Mathematics and Statistics

Ordinary Differential Equations

Partial Differential Equations

In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.

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Title: A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations
Creators - without role: Xiao-Li Ding - Xi'an Polytechnic University
Bashir Ahmad - King Abdulaziz University
Publication Details: Advances in difference equations, Vol.2018(1), pp.1-8
Publisher: Springer International Publishing
Identifiers: 9935298508331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article