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Criteria for existence of solutions for a Liouville–Caputo boundary value problem via generalized Gronwall's inequality.
- Source :
-
Journal of Inequalities & Applications . 2/18/2021, Vol. 2021 Issue 1, p1-19. 19p. - Publication Year :
- 2021
-
Abstract
- In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville–Caputo setting with mixed integro-derivative boundary conditions. To do this, Kuratowski's measure of noncompactness and Sadovskii's fixed point theorem are our tools to reach this aim. In the sequel, we discuss the continuous dependence of solutions on parameters by means of the generalized Gronwall inequality. Moreover, we consider an inclusion version of the given boundary problem in which we study its existence results by means of the endpoint theory. Finally, we prepare two simulative numerical examples to confirm the validity of the analytical findings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*GRONWALL inequalities
*INTEGRO-differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 10255834
- Volume :
- 2021
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Inequalities & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 148803805
- Full Text :
- https://doi.org/10.1186/s13660-021-02562-6