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EXISTENCE THEOREMS FOR SEMI-LINEAR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL DISCRETE AND INTEGRAL BOUNDARY CONDITIONS
Journal article   Peer reviewed

EXISTENCE THEOREMS FOR SEMI-LINEAR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL DISCRETE AND INTEGRAL BOUNDARY CONDITIONS

Doa'a Qarout, Bashir Ahmad and Ahmed Alsaedi
Fractional calculus & applied analysis, Vol.19(2), pp.463-479
01/04/2016

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
In this paper, we introduce and study a new class of boundary value problems of one-dimensional higher-order semi-linear Caputo type fractional differential equations and nonlocal multi-point discrete and integral boundary conditions. Our existence results are new in the given setting and rest on some standard tools of fixed point theory. We also discuss Riemann-Liouville and Stieltjes variants of the proposed problem. The obtained results are well illustrated with the aid of examples.

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