BVP for generalized Hilfer integrodifferential equation with positive constant coefficient
In this paper, we investigate the existence and uniqueness of solutions for a new class of integrodifferential equation boundary value problems (BVPs) involving generalized Hilfer type. Initially, we examine the scalar scenario in which the uniqueness is proved using Banach’s fixed point theorem, an...
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| Veröffentlicht in: | International journal of dynamics and control 2024-01, Vol.12 (1), p.107-114 |
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| container_title | International journal of dynamics and control |
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| creator | Alkord, Mohammed N. Shaikh, Sadikali L. |
| description | In this paper, we investigate the existence and uniqueness of solutions for a new class of integrodifferential equation boundary value problems (BVPs) involving generalized Hilfer type. Initially, we examine the scalar scenario in which the uniqueness is proved using Banach’s fixed point theorem, and the existence results are established via the Leray–Schauder nonlinear alternative. Subsequently, we discuss the stability results of the specified problem. Several examples are presented to illustrate the main findings. |
| doi_str_mv | 10.1007/s40435-023-01325-z |
| format | Article |
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| subjects | Boundary value problems Complexity Control Control and Systems Theory Dynamical Systems Engineering Existence theorems Fixed points (mathematics) Mathematical analysis Uniqueness Vibration |
| title | BVP for generalized Hilfer integrodifferential equation with positive constant coefficient |
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