Existence of Solutions for a Class of Caputo Fractional q-Difference Inclusion on Multifunctions by Computational Results
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Authors: M. E. SAMEI, G. K. RANJBAR AND V. HEDAYATI
DOI: 10.46793/KgJMat2104.543S
Abstract:
In this paper, we study a class of fractional q-differential inclusion of order 0 < q < 1 under L1-Caratheodory with convex-compact valued properties on multifunctions. By the use of existence of fixed point for closed valued contractive multifunction on a complete metric space which has been proved by Covitz and Nadler, we provide the existence of solutions for the inclusion problem via some conditions. Also, we give a couple of examples to elaborate our results and to present the obtained results by some numerical computations.
Keywords:
Existence of solution, fractional q-difference inclusion, integral boundary value problem.
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