On the Existence of the Solution for q-Caputo Fractional Boundary Value Problem

Norodin A. Rangaig^1, and Caironesa T. Pada, Vernie C. Convicto¹

¹Department of Physics, Mindanao State University, 9700 Marawi City, Philippines

Cite this paper:
Norodin A. Rangaig and Caironesa T. Pada, Vernie C. Convicto. On the Existence of the Solution for q-Caputo Fractional Boundary Value Problem. Applied Mathematics and Physics. 2017; 5(3):99-102. doi: 10.12691/amp-5-3-4

Abstract

In this paper, we discussed the existence of a four point boundary value problem for q-fractional differential equation in a Banach space, particulary, using the Banach contraction principle for certain conditions on f.

Keywords:
q-fractional integral and differential equation q-Caputo fractional derivative Banach contraction principle existence of solution

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