Geodesic
Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces
Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 309-321

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We consider a nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in a Banach space. The existence of at least one solution is proved by using the set-valued analog of Mönch fixed point theorem associated with the technique of measures of noncompactness.
DOI : 10.21136/MB.2017.0041-16
Classification : 26A33, 34A08, 34A60, 34B10, 34B15
Keywords: differential inclusion; Caputo fractional derivative; nonlocal boundary conditions; Banach space; existence; fixed point; measure of noncompactness 
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Seba, Djamila. Nonlinear fractional differential inclusion with nonlocal fractional integro-differential boundary conditions in Banach spaces. Mathematica Bohemica, Tome 142 (2017) no. 3, pp. 309-321. doi: 10.21136/MB.2017.0041-16

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