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Title
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Existence of solutions for a class of Caputo fractional q-difference inclusion on multifunctions by computational results
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Type
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JournalPaper
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Keywords
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Existence of solution; fractional q-difference inclusion; integral boundary value problem
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Abstract
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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
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Researchers
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(Third Researcher), Ghorban Khlilzadeh Ranjbar (Second Researcher), Mohammad Esmael Samei (First Researcher)
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