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On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay.
- Source :
-
Journal of Function Spaces . 9/19/2022, p1-9. 9p. - Publication Year :
- 2022
-
Abstract
- In this work, we are concerned with some qualitative analyses of fractional-order partial hyperbolic functional differential equations under the ψ -Caputo type. To be precise, we investigate the existence and uniqueness results based on the nonlinear alternative of the Leray-Schauder type and Banach contraction mapping. Moreover, we present two similar results to nonlocal problems. Then, the guarantee of the existence of solutions is shown by Ulam-Hyer's stability. Two examples will be given to illustrate the abstract results. Eventually, some known results in the literature are extended. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 159194767
- Full Text :
- https://doi.org/10.1155/2022/1399951