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Öğe Extremal Positive Solutions for Hadamard Fractional Differential Systems on an Infinite Interval(Springer Basel Ag, 2023) Deren, Fulya Yoruk; Cerdik, Tugba SenlikIn this paper, we deal with the iterative positive solutions for a system of Hadamard fractional differential equations, supplemented with multi-point boundary conditions which involve lower order Hadamard fractional derivatives on an infinite interval. Here, nonlinear terms contain an unknown function and Hadamard fractional derivative of an unknown function. Finally, we demonstrate an example which shows that our result is feasible.Öğe ON A NONLINEAR FRACTIONAL BOUNDARY VALUE PROBLEM INCLUDING A HADAMARD FRACTIONAL DERIVATIVE WITH p-LAPLACIAN(Rocky Mt Math Consortium, 2024) Cerdik, Tugba SenlikWe present existence results of the p-Laplacian Hadamard fractional boundary value problem. We analyze the existence of multiple positive solutions for the fractional boundary value problem with the nonlinear term which involves the derivative term with the help of a fixed point theorem. An example is provided to describe the validity of the main result.Öğe Solvability of a Hadamard fractional boundary value problem with multi-term integral and Hadamard fractional derivative boundary conditions(Wiley, 2024) Cerdik, Tugba SenlikIn the present paper, we construct the existence of nontrivial solutions to a new kind of Hadamard fractional boundary value problem on an unbounded domain. With the contribution of some fixed point theorems in cone and the corresponding Green function, we ensure sufficient conditions for the Hadamard fractional boundary value problem. Also, the paper concludes with two examples to demonstrate our results.
