On the Hadamard and Riemann–Liouville fractional neutral functional integrodifferential equations with finite delay



This paper is concerned with the existence and uniqueness of solutions for Hadamard and Riemann–Liouville fractional neutral functional integrodifferential equations with finite delay. The existence of solutions is derived from Leray–Schauders alternative, whereas the uniqueness of solution is established by Banachs contraction principle. An illustrative example is also included.


Hadamard fractional derivative Riemann–Liouville fractional integral Neutral fractional differential equations Fixed point theorems 

Mathematics Subject Classification

34A08 34K37 34K40 


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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Computer Science, Faculty of ScienceAlexandria UniversityAlexandriaEgypt

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