Nasiri, H. Roshan, J. R. Mursaleen, M.
Published in
Computational and Applied Mathematics

In this article, we present some fixed point and coupled fixed point theorems adapted from the notion of F-contraction mappings in Banach spaces (B.S.) via the measure of noncompactness (M.N.C). Then we define and present a new class of generalized F-contractions, to upgrade some results of Falest and Latrach (Bull Bell Math Soc Simon Stevin 22:797...

Le, Phuong
Published in
Acta Mathematica Scientia

Let 0 0 for all s, t ≥ 0. The main technique we use is the method of moving spheres in integral forms. Since our assumptions are more general than those in the previous literature, some new ideas are introduced to overcome this difficulty.

Luca, Rodica
Published in
Advances in Difference Equations

We investigate the existence of solutions for a system of Riemann–Liouville fractional differential equations with nonlinearities dependent on fractional integrals, subject to coupled nonlocal boundary conditions which contain various fractional derivatives and Riemann–Stieltjes integrals. In the proof of our main results, we use some theorems from...

Chakraborty, Samiran Nelakanti, Gnaneshwar
Published in
Computational and Applied Mathematics

In this article, we apply projection methods and their iterated versions to approximate the solution of system of Fredholm–Hammerstein integral equations with both smooth and weakly singular kernels of algebraic and logarithmic type using the piecewise polynomial basis functions. We show that the iterated Galerkin approximate solution converges to ...

Wang, JinRong Fečkan, Michal Zhang, Wenlin
Published in
Zeitschrift für angewandte Mathematik und Physik

This paper proposes a nonlocal formulation regarding the modeling of Antarctic Circumpolar Current by introducing flow functions to encode horizontal flow components without considering vertical motion. Using topological degree, zero exponent theory and fixed point technique, we show the existence of positive solutions to nonlocal boundary value pr...

Unhale, S. I. Kendre, Subhash D.
Published in
Journal of Applied Analysis

The objective of this work is to study the local existence, uniqueness, stability and other properties of solutions of iterative mixed integrodifferential equations of fractional order. The Successive Approximation Method is applied for the numerical solution of iterative mixed integrodifferential equations of fractional order.

Nabil, Tamer
Published in
Demonstratio Mathematica

The combined systems of integral equations have become of great importance in various fields of sciences such as electromagnetic and nuclear physics. New classes of the merged type of Urysohn Volterra-Chandrasekhar quadratic integral equations are proposed in this paper. This proposed system involves fractional Urysohn Volterra kernels and also Cha...

Bao, Xiongxiong
Published in
Zeitschrift für angewandte Mathematik und Physik

The current paper is devoted to the study of the stability of space–time periodic traveling wave solutions and positive space–time periodic entire solutions of nonlocal dispersal cooperative systems in space–time periodic habitats. We first show the existence, uniqueness and stability of positive space–time periodic entire solution u∗(t,x)\document...

Bidaut-Véron, Marie-Françoise Nguyen, Quoc-Hung Véron, Laurent
Published in
Calculus of Variations and Partial Differential Equations

We study the equation -div(A(x,∇u))=|u|q1-1u|∇u|q2+μ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$-\text {div}(A(x,\nabla u))=|u|^{q_1-1}u|\nabla u|^{q_2}+\mu $$\end{...

Bidaut-Véron, Marie-Françoise Nguyen, Quoc-Hung Véron, Laurent

We study the equation −div(A(x, u)) = g(x, u, u) + µ where µ is a measure and either g(x, u, u) ∼ |u| q 1 u||u| q 2 or g(x, u, u) ∼ |u| s 1 u + ||u| s 2. We give sufficient conditions for existence of solutions expressed in terms of the Wolff potential or the Riesz potentials of the measure. Finally we connect the potential estimates on the measure...