Impulsive fractional integro-delay differential equation-controllability through delayed Mittag-Leffler function perturbation
The research is focused on establishing the existence and uniqueness of solutions for a specific set of Caputo fractional integro-differential equations with delay under impulsive conditions. To achieve this, the study employs the fractional derivative within the Caputo framework and utilizes the de...
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| Veröffentlicht in: | International journal of dynamics and control 2024-11, Vol.12 (11), p.4178-4187 |
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| container_title | International journal of dynamics and control |
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| creator | Jothilakshmi, G. Sundaravadivoo, B. Nisar, Kottakkaran S. Alsaeed, Suliman |
| description | The research is focused on establishing the existence and uniqueness of solutions for a specific set of Caputo fractional integro-differential equations with delay under impulsive conditions. To achieve this, the study employs the fractional derivative within the Caputo framework and utilizes the delayed perturbation of the Mittag-Leffler matrix. The research findings are rooted in the fixed points of the Banach fixed point theorems to prove the existence of the semilinear fractional integro-differential delay system. Furthermore, the study delves into controllability analysis using the delayed Grammian matrix. Theoretical examples are included to illustrate and demonstrate the implications of the established theorems. |
| doi_str_mv | 10.1007/s40435-024-01479-4 |
| format | Article |
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| subjects | Complexity Control Control and Systems Theory Controllability Delay Differential equations Dynamical Systems Engineering Fixed points (mathematics) Perturbation Theorems Vibration |
| title | Impulsive fractional integro-delay differential equation-controllability through delayed Mittag-Leffler function perturbation |
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