Existence, uniqueness and stability of fractional impulsive functional differential inclusions. (English) Zbl 1483.34110
Summary: In the paper, we discuss necessary and sufficient conditions to obtain the existence, uniqueness and stability of solutions of fractional impulsive functional differential equations towards the \(\psi \)-Liouville-Caputo fractional derivative, through fixed point theorem, Arzela-Ascoli theorem and multivalued analysis theory.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K09 | Functional-differential inclusions |
| 47N20 | Applications of operator theory to differential and integral equations |
| 34K45 | Functional-differential equations with impulses |
| 34K20 | Stability theory of functional-differential equations |
Keywords:
fractional differential inclusions; existence and uniqueness; stability; Banach fixed point; multivalued analysis theoryReferences:
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