Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay
This article addresses a new class of delayed fractional multivalued problems complemented with nonlocal boundary conditions. In view of infinite delay theory, we convert the inclusion problem into a fixed-point multivalued problem, defined in an appropriate phase space. Then, sufficient criteria fo...
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| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/1/46 |
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| author | Madeaha Alghanmi Shahad Alqurayqiri |
| author_facet | Madeaha Alghanmi Shahad Alqurayqiri |
| author_sort | Madeaha Alghanmi |
| collection | DOAJ |
| description | This article addresses a new class of delayed fractional multivalued problems complemented with nonlocal boundary conditions. In view of infinite delay theory, we convert the inclusion problem into a fixed-point multivalued problem, defined in an appropriate phase space. Then, sufficient criteria for the existence of solutions are established for the convex case of the given problem using the nonlinear Leray–Schauder alternative type, while Covitz and Nadler’s theorem is applied for nonconvex multivalued functions. Finally, the results are illustrated through examples. |
| format | Article |
| id | doaj-art-e260c064e075480fbd5a2050e4559629 |
| institution | Kabale University |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-e260c064e075480fbd5a2050e45596292025-01-24T13:33:29ZengMDPI AGFractal and Fractional2504-31102025-01-01914610.3390/fractalfract9010046Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite DelayMadeaha Alghanmi0Shahad Alqurayqiri1Department of Mathematics, College of Sciences & Arts, King Abdulaziz University, Rabigh 21911, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaThis article addresses a new class of delayed fractional multivalued problems complemented with nonlocal boundary conditions. In view of infinite delay theory, we convert the inclusion problem into a fixed-point multivalued problem, defined in an appropriate phase space. Then, sufficient criteria for the existence of solutions are established for the convex case of the given problem using the nonlinear Leray–Schauder alternative type, while Covitz and Nadler’s theorem is applied for nonconvex multivalued functions. Finally, the results are illustrated through examples.https://www.mdpi.com/2504-3110/9/1/46fractional derivativeinclusionsdelayfixed pointnonlocal boundary condition |
| spellingShingle | Madeaha Alghanmi Shahad Alqurayqiri Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay Fractal and Fractional fractional derivative inclusions delay fixed point nonlocal boundary condition |
| title | Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay |
| title_full | Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay |
| title_fullStr | Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay |
| title_full_unstemmed | Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay |
| title_short | Existence Results of Nonlocal Fractional Integro-Neutral Differential Inclusions with Infinite Delay |
| title_sort | existence results of nonlocal fractional integro neutral differential inclusions with infinite delay |
| topic | fractional derivative inclusions delay fixed point nonlocal boundary condition |
| url | https://www.mdpi.com/2504-3110/9/1/46 |
| work_keys_str_mv | AT madeahaalghanmi existenceresultsofnonlocalfractionalintegroneutraldifferentialinclusionswithinfinitedelay AT shahadalqurayqiri existenceresultsofnonlocalfractionalintegroneutraldifferentialinclusionswithinfinitedelay |