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Initial value problems of fractional order Hadamard-type functional differential equations. (English) Zbl 1320.34109

The authors investigate the existence and uniqueness of solutions for fractional order Hadamard-type functional and neutral functional differential equations by using the Banach fixed point theorem and a nonlinear alternative of Leray-Schauder type. An example is provided to illustrate the theory.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K40 Neutral functional-differential equations
47N20 Applications of operator theory to differential and integral equations
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