Two fractional derivative inclusion problems via integral boundary condition

Ravi P. Agarwal, Dumitru Baleanu, Vahid Hedayati and Shahram Rezapour

Applied Mathematics and Computation, 2015, vol. 257, issue C, 205-212

Abstract: The goal of the manuscript is to analyze the existence of solutions for the Caputo fractional differential inclusion cDqx(t)∈F(t,x(t),cDβx(t)) with the boundary value conditions x(0)=0 and x(1)+x′(1)=∫0ηx(s)ds, such that 0<η<1, 11. Also, we investigate the existence of solutions for the Caputo fractional differential inclusion cDqx(t)∈F(t,x(t)) such that x(0)=a∫0νx(s)ds and x(1)=b∫0ηx(s)ds, where 0<ν, η<1, 1Keywords: Fixed point; Fractional differential inclusion; Integral boundary value problem (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:205-212

DOI: 10.1016/j.amc.2014.10.082

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