*Correspondence: [email protected] 1Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand 2Centre of Excellence in Mathematics, CHE, Sri Ayutthaya Road, Bangkok, 10400, Thailand Abstract In this article, we present some new existence and uniqueness results for nonlinear fractional integro-differential equations...

*Correspondence: [email protected] Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China Abstract In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Ban...

The Cauchy–Nicoletti boundary value problem for a system of ordinary differential equations with pole-type singularities is investigated. The conditions of the existence, uniqueness, and nonuniqueness of a solution in the class of continuously differentiable functions are given. The classical Banach contraction principle is combined with a special transformation of the original problem. Introdu...

In this paper we study the existence of mild solutions for a class of first-order delay integrodifferential equations with nonlocal condition in a Banach space. The results are established by the application of the theory of resolvent operators, the contraction mapping principle and the Schaefer theorem. An example is presented in the end to show the applications of the obtained results. Mathem...

* Correspondence: J.W. [email protected] School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, PR China Full list of author information is available at the end of the article Abstract In order to unify some variational inequality problems, in this paper, a new system of generalized quasivariational inclusion (for short, (SGQVI)) is introduced. By using Banach contraction pr...

This paper considers the existence, uniqueness and non-existence of solution for a quasi-linear fractional boundary value problems with sign-changing Green’s function. Under certain growth conditions on the nonlinear term, we employ the Leray-Schauder alternative fixed point theorem to obtain an existence result of nontrivial solution and use the Banach contraction mapping principle to obtain a...

In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo operators, nonperiodic nonlocal integral boundary conditions. The results presented in study establish existence, uniqueness, Hyers–Ulam (HU) stability of solution to proposed equation. We achieved our main result by using Banach contraction mapping principle Kraso...

We obtain existence and uniqueness fixed point theorems as well approximation results for some classes of mappings defined by symmetric contractive type conditions in a convex metric space the sense Takahashi. By using new approach, i.e., technique enrichment mappings, we general which extend known Banach contraction mapping principle from spaces other corresponding enriched on spaces. To indic...

In this paper, we study a nonlinear fractional boundary value problem on particular metric graph, namely, circular ring with an attached edge. First, prove existence and uniqueness of solutions using the Banach contraction principle Krasnoselskii's fixed point theorem. Further, investigate different kinds Ulam-type stability for proposed problem. Finally, example is...

Branciari 1 established a fixed point result for an integral type inequality, which is a generalization of Banach contraction principle. Kada et al. 2 introduced and studied the concept of w-distance on a metric space. They give examples of w-distances and improved Caristi’s fixed point theorem, Ekeland’s -variational’s principle, and the nonconvex minimization theorem according to Takahashi se...