Nonlinear Functional Boundary Value Problems for Conformable Fractional Dynamic Equations on Time Scales View Full Text


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Article Info

DATE

2019-04

AUTHORS

Bouharket Bendouma, Ahmed Hammoudi

ABSTRACT

In this paper, we establish the existence of solutions for the conformable fractional dynamic equations on time scales, with nonlinear functional boundary value conditions. We first obtain the exact expression of the fractional Green’s function related to the linear conformable fractional dynamic problem and then we study the nonlinear functional boundary problems, by means of the upper and lower solutions method together with Schauder’s fixed-point theorem. More... »

PAGES

25

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00009-019-1302-5

DOI

http://dx.doi.org/10.1007/s00009-019-1302-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1111949051


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