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Existence results for a coupled system of nonlinear fractional differential equations in Banach spaces. (English) Zbl 1442.34099

Summary: We investigate boundary value problems for a coupled system of nonlinear fractional differential equations involving Caputo derivative in Banach spaces. A generalized singular type coupled Gronwall inequality system is given to obtain an important a priori bound. Existence results are obtained by using fixed point theorems and an example is given to illustrate the results.

MSC:

34G20 Nonlinear differential equations in abstract spaces
34A08 Fractional ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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