A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations
Abstract 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.
Main Authors: | Xiao-Li Ding, Bashir Ahmad |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-03-01
|
Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-018-1548-4 |
Similar Items
-
On some generalizations of certain nonlinear retarded integral inequalities for Volterra–Fredholm integral equations and their applications in delay differential equations
by: A.A. El-Deeb, et al.
Published: (2017-07-01) -
Numerical Solution of Fractional Volterra-Fredholm Integro-Differential Equation Using Lagrange Polynomials
by: Nour Salman, et al.
Published: (2020-12-01) -
Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications
by: Haidong Liu, et al.
Published: (2016-09-01) -
Existence and uniqueness results for Volterra-Fredholm integro-differential equations
by: Ahmed Hamoud, et al.
Published: (2020-11-01) -
Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications
by: Run Xu, et al.
Published: (2017-08-01)