This paper we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness solution and the Hyers-Ulam (HU) stability. result via ϕ−Hilfer derivative is studied. Then, an existence of one solution is investigated. Some illustrative examples are discussed at the end.
This paper aims to an initial value problem for an impulsive fractional differential inclusion with the Riemann-Liouville fractional derivative. We apply Covitz and Nadler theorem concerning the study of the fixed point for multivalued maps to obtain the existence results for the given problems. We also obtain some topological properties about the solution set.
In this paper, we discuss the existence and uniqueness of solutions for the coupled system of Phi-Caputo fractional differential equations. An illustrative example is included to show the applicability of our results.
In this article, we establish certain sufficient conditions to show the
existence of solutions of a fractional differential equation with the
?-Riemann-Liouville and ?-Caputo fractional derivative in a special Banach
space. Our approach is based on fixed point theorems for Meir-Keeler
condensing operators via measure of non-compactness. Also an example is
given to illustrate our approach.
In this paper, we study the existence of solutions for a new problem of hybrid differential
equations with nonlocal integro multi point boundary conditions by using the proportional fractional
derivative. The presented results are obtained by using hybrid fixed point theorems for three Dhage
operators. The application of theoretical conclusions is demonstrated through an example.
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