Geodesic
Existence of Solutions for a Class of Caputo Fractional $q$-Difference Inclusion on Multifunctions by Computational Results
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 543

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In this paper, we study a class of fractional $q$-differential inclusion of order $0 q 1$ under $L^1$-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.
Classification : 26A33, 34A08, 34K37
Keywords: existence of solution, fractional $q$-difference inclusion, integral boundary value problem 
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     title = {Existence of {Solutions} for a {Class} of {Caputo} {Fractional} $q${-Difference} {Inclusion} on {Multifunctions} by {Computational} {Results}},
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Mohammad Esmael Samei; Ghorban Khalilzadeh Ranjbar; Vahid Hedayati. Existence of Solutions for a Class of Caputo Fractional $q$-Difference Inclusion on Multifunctions by Computational Results. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 4, p. 543 . http://geodesic.mathdoc.fr/item/KJM_2021_45_4_a3/