Results for mild solution of fractional coupled hybrid boundary value problems. (English) Zbl 1350.34004
Summary: We study a coupled system of fractional order hybrid boundary value problems (HBVP) with \(n\) initial and boundary hybrid conditions. For this purpose, we are utilizing some classical results, Leray-Schauder Alternative (LSA) and Banach Contraction Principle (BCP). Some examples are given for the illustration of applications of our results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
hybrid fractional differential equations; existence and uniqueness of mild solution; Leray-Schauder alternative; Banach contraction principleReferences:
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