Applying new fixed point theorems on fractional and ordinary differential equations

By E. Karapınar, Thabet Abdeljawad, Fahd Jarad. Advances in Differential Equations, 2019

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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.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/a0a52b373042f61ef1bdde7e3fe90471881c853c