Wang, Jufang Yu, Changlong Zhang, Boya Wang, Si
Published in
Advances in Difference Equations

The aim of this paper is to investigate the boundary value problem of a fractional q-difference equation with ϕ-Laplacian, where ϕ-Laplacian is a generalized p-Laplacian operator. We obtain the existence and nonexistence of positive solutions in terms of different eigenvalue intervals for this problem by means of the Green function and Guo–Krasnose...

Li, Nadia N. Chu, Wenchang
Published in
Advances in Difference Equations

By means of the linearization method, we evaluate another class of nonterminating F23\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$_{3}F_{2}$\end{document}-series with...

Samei, Mohammad Esmael Matar, Mohammed M. Etemad, Sina Rezapour, Shahram
Published in
Advances in Difference Equations

This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem. We first rewrite the mathematical model of the extended fractional snap problem by means of the G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts...

Chen, Yang Li, Hongyu
Published in
Advances in Difference Equations

The main purpose of this paper is to prove the existence of positive solutions for a system of nonlinear Caputo-type fractional differential equations with two parameters. By using the Guo–Krasnosel’skii fixed point theorem, some existence theorems of positive solutions are obtained in terms of different values of parameters. Two examples are given...

Shams, Mudassir Rafiq, Naila Kausar, Nasreen Agarwal, Praveen Park, Choonkil Momani, Shaher
Published in
Advances in Difference Equations

Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Convergence analysis shows that the orders of convergence of th...

Turab, Ali Mitrović, Zoran D. Savić, Ana
Published in
Advances in Difference Equations

Chemical graph theory is a field of mathematics that studies ramifications of chemical network interactions. Using the concept of star graphs, several investigators have looked into the solutions to certain boundary value problems. Their choice to utilize star graphs was based on including a common point connected to other nodes. Our aim is to expa...

Aljaaidi, Tariq A. Pachpatte, Deepak B. Abdeljawad, Thabet Abdo, Mohammed S. Almalahi, Mohammed A. Redhwan, Saleh S.
Published in
Advances in Difference Equations

The theory of fractional integral inequalities plays an intrinsic role in approximation theory also it has been a key in establishing the uniqueness of solutions for some fractional differential equations. Fractional calculus has been found to be the best for modeling physical and engineering processes. More precisely, the proportional fractional o...

Suparatulatorn, Raweerote Cholamjiak, Watcharaporn Gibali, Aviv Mouktonglang, Thanasak
Published in
Advances in Difference Equations

In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm, and more, for solving the common variational inclusion problem in real Hilbert spaces. We establish a strong convergence theorem of the algorithm under standard and suitable assumptions and illustrate...

Pervaiz, Bakhtawar Zada, Akbar Etemad, Sina Rezapour, Shahram
Published in
Advances in Difference Equations

In this article, we establish a new class of mixed integral fractional delay dynamic systems with impulsive effects on time scales. We investigate the qualitative properties of the considered systems. In fact, the article contains three segments, and the first segment is devoted to investigating the existence and uniqueness results. In the second s...

Maqsood, Sidra Abbas, Muhammad Miura, Kenjiro T. Majeed, Abdul BiBi, Samia Nazir, Tahir
Published in
Advances in Difference Equations

This study is based on some C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$C^{1}$\end{document}, C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasy...