Zidane Baitiche, Choukri Derbazi, On the solvability of a fractional hybrid differential equation of Hadamard type with Dirichlet boundary conditions in Banach algebras, Vol. 2020 (2020), Article ID 9, pp. 1-11

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DOI: 10.23952/cot.2020.9

Received November 30, 2019; Accepted April 2, 2020, Published April 20, 2020

 

Abstract. In this paper, we study the existence of solutions for hybrid fractional differential equations involving the Hadamard fractional derivative with order \alpha \in(1, 2]. The main tools in our study are the techniques associated with the measure of noncompactness in the Banach algebras and a generalization of Darbo’s fixed point theorem. An example is provided to illustrate our main results.

 

How to Cite this Article:
Zidane Baitiche, Choukri Derbazi, On the solvability of a fractional hybrid differential equation of Hadamard type with Dirichlet boundary conditions in Banach algebras, Communications in Optimization Theory, Vol. 2020 (2020), Article ID 9, pp. 1-11.