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Analysis of a System of Nonlinear Hadamard Type Fractional Boundary Value Problems
(Fuat Usta, 2022) Şenlik Çerdik, Tuğba
The aim of this work is to analyze the existence of positive solutions for a coupled system of Hadamard type fractional boundary value problems. By using the five functional fixed point theorem, the conditions for the existence of positive solutions are derived. Finally, to show the applicability of the main result, an illustrative example is also involved.
Existence Criteria of Positive Solutions for Fractional p-Laplacian Boundary Value Problems
(University of Nis, Serbia, 2021) Şenlik Çerdik, Tuğba; Yörük Deren, Fulya; Agarwal, Ravi P.
By means of the Bai-Ge's fixed point theorem, this paper shows the existence of positive solutions for nonlinear fractional p-Laplacian differential equations. Here, the fractional derivative is the standard Riemann-Liouville one. Finally, an example is given to illustrate the importance of results obtained.