In this paper, we employ a fixed point theorem due to Krasnosel’skii to attain the existence of periodic solutions for neutral-type neural networks with delays on a periodic time scale. Some new sufficient conditions are established to show that there exists a unique periodic solution by the contraction mapping principle.

Time local well-posedness for the Maxwell-Schrödinger equation in the Coulomb gauge is studied in Sobolev spaces by the contraction mapping principle. The Lorentz gauge and the temporal gauge cases are also treated by the gauge transform. Mathematics Subject Classification (2000) : 35Q55, 35Q60, 35L70.

In this paper, we investigate the existence and uniqueness of almost periodic solutions for a class of nonlinear Duffing system with time-varying delays. By using theory of exponential dichotomies and contraction mapping principle, we establish some new results and give an example to illustrate the theoretical analysis in this work.

In this paper, we study the existence of solutions for fractional differential equations with Caputo-Hadamard derivative order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and results are established by using Schauder’s fixed point theorem. Furthermore, Ulam-Hyers Ulam-Hyers-Rassias stability proposed equation employed. Some examples given to illustrate r...

In this paper, we discussed the existence, uniqueness and Ulam-type stability of solutions for sequential coupled hybrid fractional differential equations with two derivatives. The is established by means Banach's contraction mapping principle, while existence derived from Leray-Schauder's alternative fixed point theorem. Further, addressed problem studied. Finally, an example provided to check...

This paper is concerned with the existence and uniqueness of solutions for a new class boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented nonlocal integro-multipoint conditions. The unique solution obtained via Banach contraction mapping principle, while results are established applying Schaefer Krasnoselskii fixed point theorems as well Leray...

This paper considers boundary value problem (BVP) for nonlinear first-order differential problems with multipoint and integral conditions. A suitable Green function was constructed the first time in order to reduce this into a corresponding equation. So that by using Banach contraction mapping principle (BCMP) Schaefer’s fixed point theorem (SFPT) on equation, we can show solution of exists it ...

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses Caputo fractional derivative function with respect to another function, supplemented Riemann–Stieltjes integral conditions. The unique solution is obtained via Banach’s contraction mapping principle, while an result established using Leray–Schauder...