Existence results for nonlinear neutral generalized Caputo fractional differential equations
This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We apply a variety assort of fixed point t...
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| Veröffentlicht in: | Journal of pseudo-differential operators and applications 2021-06, Vol.12 (2), Article 25 |
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| container_title | Journal of pseudo-differential operators and applications |
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| creator | Adjimi, Naas Boutiara, Abdelatif Abdo, Mohammed S. Benbachir, Maamar |
| description | This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We apply a variety assort of fixed point theorems such as Krasnoselskii and Banach. We also establish the Ulam–Hyers stability results for the addressed problem. Further, an example illustrate our acquired results. |
| doi_str_mv | 10.1007/s11868-021-00400-3 |
| format | Article |
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Pseudo-Differ. Oper. Appl</addtitle><description>This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We apply a variety assort of fixed point theorems such as Krasnoselskii and Banach. We also establish the Ulam–Hyers stability results for the addressed problem. 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| subjects | Algebra Analysis Applications of Mathematics Boundary conditions Boundary value problems Differential equations Fixed points (mathematics) Functional Analysis Mathematics Mathematics and Statistics Operator Theory Partial Differential Equations |
| title | Existence results for nonlinear neutral generalized Caputo fractional differential equations |
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