On the existence of solutions for a multi-singular pointwise defined fractional q-integro-differential equation

Author:

Rezapour ShahramORCID,Samei Mohammad Esmael

Abstract

AbstractBy using the Caputo type and the Riemann–Liouville type fractional q-derivative, we investigate the existence of solutions for a multi-term pointwise defined fractional q-integro-differential equation with some boundary value conditions. In fact, we give some results by considering different conditions and using some classical fixed point techniques and the Lebesgue dominated convergence theorem.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

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4. Ahmad, B., Etemad, S., Ettefagh, M., Rezapour, S.: On the existence of solutions for fractional q-difference inclusions with q-antiperiodic boundary conditions. Bull. Math. Soc. Sci. Math. Roum. 59(107)(2), 119–134 (2016). https://www.jstor.org/stable/26407454

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