Singh, Soniya Singh, Bhupander Nisar, Kottakkaran Sooppy Hyder, Abd-Allah Zakarya, M.
Published in
Advances in Difference Equations

In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the corresponding results of several authors. We present fascinating examples of equations.

Latif, Muhammad Amer
Published in
Advances in Difference Equations

In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral inequality and an improved power-mean inequality.

Talib, Imran Abdeljawad, Thabet Alqudah, Manar A. Tunc, Cemil Ameen, Rabia
Published in
Advances in Difference Equations

In this manuscript, we study a certain classical second-order fully nonlinear coupled system with generalized nonlinear coupled boundary conditions satisfying the monotone assumptions. Our new results unify the existence criteria of certain linear and nonlinear boundary value problems (BVPs) that have been previously studied on a case-by-case basis...

Raj, Kuldip Jasrotia, Swati Mursaleen, M.
Published in
Advances in Difference Equations

In this study, we deal with some new vector valued multiplier spaces SGh(∑kzk)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$S_{G_{h}}(\sum_{k}z_{k})$\end{document} and...

Qiu, Yang-Cong
Published in
Advances in Difference Equations

In this paper, a class of fourth-order nonlinear neutral dynamic equations on time scales is investigated. We obtain some sufficient conditions for the existence of nonoscillatory solutions tending to zero with some characteristics of the equations by Krasnoselskii’s fixed point theorem. Finally, two interesting examples are presented to show the s...

Boutiara, Abdelatif Etemad, Sina Alzabut, Jehad Hussain, Azhar Subramanian, Muthaiah Rezapour, Shahram
Published in
Advances in Difference Equations

In this paper, we consider a nonlinear sequential q-difference equation based on the Caputo fractional quantum derivatives with nonlocal boundary value conditions containing Riemann–Liouville fractional quantum integrals in four points. In this direction, we derive some criteria and conditions of the existence and uniqueness of solutions to a given...

Ibrahim, Rabha W. Baleanu, Dumitru
Published in
Advances in Difference Equations

In this note, we formulate a new linear operator given by Airy functions of the first type in a complex domain. We aim to study the operator in view of geometric function theory based on the subordination and superordination concepts. The new operator is suggested to define a class of normalized functions (the class of univalent functions) calling ...

Arfat, Yasir Kumam, Poom Khan, Muhammad Aqeel Ahmad Ngiamsunthorn, Parinya Sa Kaewkhao, Attapol
Published in
Advances in Difference Equations

This paper provides iterative construction of a common solution associated with the classes of equilibrium problems (EP) and split convex feasibility problems. In particular, we are interested in the EP defined with respect to the pseudomonotone bifunction, the fixed point problem (FPP) for a finite family of -demicontractive operators, and the spl...

Nawaz, Yasir Arif, Muhammad Shoaib Abodayeh, Kamaleldin Shatanawi, Wasfi
Published in
Advances in Difference Equations

An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This scheme is first-order accurate in time and second-order accurate in space and provides the conditions to get a positive solution for the considere...

Benkerrouche, Amar Baleanu, Dumitru Said Souid, Mohammed Hakem, Ali Inc, Mustafa
Published in
Advances in Difference Equations

In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed. To achieve this aim, we firstly investigate some specifications of this kind of variable-order operators, and then we derive the required criteri...