On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay
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...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1399951 |
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| _version_ | 1832551710585782272 |
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| author | Mohammed S. Abdo Mohammed Zakarya Emad E. Mahmoud Saeed M. Ali Abdel-Haleem Abdel-Aty |
| author_facet | Mohammed S. Abdo Mohammed Zakarya Emad E. Mahmoud Saeed M. Ali Abdel-Haleem Abdel-Aty |
| author_sort | Mohammed S. Abdo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f2bcbe18cc104941afb12db2f64b17b5 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-f2bcbe18cc104941afb12db2f64b17b52025-02-03T06:00:55ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1399951On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite DelayMohammed S. Abdo0Mohammed Zakarya1Emad E. Mahmoud2Saeed M. Ali3Abdel-Haleem Abdel-Aty4Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of Basic Engineering SciencesDepartment of PhysicsIn 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.http://dx.doi.org/10.1155/2022/1399951 |
| spellingShingle | Mohammed S. Abdo Mohammed Zakarya Emad E. Mahmoud Saeed M. Ali Abdel-Haleem Abdel-Aty On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay Journal of Function Spaces |
| title | On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay |
| title_full | On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay |
| title_fullStr | On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay |
| title_full_unstemmed | On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay |
| title_short | On ψ-Caputo Partial Hyperbolic Differential Equations with a Finite Delay |
| title_sort | on ψ caputo partial hyperbolic differential equations with a finite delay |
| url | http://dx.doi.org/10.1155/2022/1399951 |
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