Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms
This work is reserved for the study of a special category of boundary value problems (BVPs) consisting of Liouville–Caputo integro-differential equations with multiple nonlinear terms. This fractional model and its boundary value conditions (BVCs) involve different simple BVPs, in which the second B...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6713533 |
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| author | Shahram Rezapour Ali Boulfoul Brahim Tellab Mohammad Esmael Samei Sina Etemad Reny George |
| author_facet | Shahram Rezapour Ali Boulfoul Brahim Tellab Mohammad Esmael Samei Sina Etemad Reny George |
| author_sort | Shahram Rezapour |
| collection | DOAJ |
| description | This work is reserved for the study of a special category of boundary value problems (BVPs) consisting of Liouville–Caputo integro-differential equations with multiple nonlinear terms. This fractional model and its boundary value conditions (BVCs) involve different simple BVPs, in which the second BVC as a linear combination of two Caputo derivatives of the unknown function equals a nonzero constant. The Banach principle gives a unique solution for this Liouville–Caputo BVP. Further, the Krasnoselskii and Leray–Schauder criteria give the existence property regarding solutions of the mentioned problem. For each theorem, we provide an example based on the required hypotheses and derive numerical data in the framework of tables and figures to show the consistency of results from different points of view. |
| format | Article |
| id | doaj-art-1ccbdbe840584fcb8d97beb051ea30ac |
| 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-1ccbdbe840584fcb8d97beb051ea30ac2025-02-03T01:02:29ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6713533Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear TermsShahram Rezapour0Ali Boulfoul1Brahim Tellab2Mohammad Esmael Samei3Sina Etemad4Reny George5Department of MathematicsLaboratory of Applied MathematicsLaboratory of Applied MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis work is reserved for the study of a special category of boundary value problems (BVPs) consisting of Liouville–Caputo integro-differential equations with multiple nonlinear terms. This fractional model and its boundary value conditions (BVCs) involve different simple BVPs, in which the second BVC as a linear combination of two Caputo derivatives of the unknown function equals a nonzero constant. The Banach principle gives a unique solution for this Liouville–Caputo BVP. Further, the Krasnoselskii and Leray–Schauder criteria give the existence property regarding solutions of the mentioned problem. For each theorem, we provide an example based on the required hypotheses and derive numerical data in the framework of tables and figures to show the consistency of results from different points of view.http://dx.doi.org/10.1155/2022/6713533 |
| spellingShingle | Shahram Rezapour Ali Boulfoul Brahim Tellab Mohammad Esmael Samei Sina Etemad Reny George Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms Journal of Function Spaces |
| title | Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms |
| title_full | Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms |
| title_fullStr | Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms |
| title_full_unstemmed | Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms |
| title_short | Fixed Point Theory and the Liouville–Caputo Integro-Differential FBVP with Multiple Nonlinear Terms |
| title_sort | fixed point theory and the liouville caputo integro differential fbvp with multiple nonlinear terms |
| url | http://dx.doi.org/10.1155/2022/6713533 |
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