Journal
JOURNAL OF FUNCTION SPACES
Volume 2022, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2022/1399951
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Funding
- King Khalid University [R.G.P. 2/29/43]
- Taif University, Taif, Saudi Arabia [TURSP-2020/20]
- University of Bisha, Saudi Arabia
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This work investigates the qualitative analysis of a class of fractional-order partial hyperbolic functional differential equations under the psi-Caputo type. The focus is on the existence and uniqueness results of solutions, as well as the extension to nonlocal problems.
In this work, we are concerned with some qualitative analyses of fractional-order partial hyperbolic functional differential equations under the psi-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.
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