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Applying new fixed point theorems on fractional and ordinary differential equations
Journal article   Open access  Peer reviewed

Applying new fixed point theorems on fractional and ordinary differential equations

Erdal Karapınar, Thabet Abdeljawad and Fahd Jarad
Advances in difference equations, Vol.2019(1), pp.1-25
03/10/2019
DOI: https://doi.org/10.1186/s13662-019-2354-3

Abstract

Advances in Fractional Differential Equations and Their Real World Applications - Part Two Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value problems with integral type boundary conditions in the frame of some Caputo type fractional operators.
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https://doi.org/10.1186/s13662-019-2354-3View
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