Fractal-fractional order dynamics and numerical simulations of a Zika epidemic model with insecticide-treated nets

E Addai, L Zhang, J Ackora-Prah, JF Gordon… - Physica A: Statistical …, 2022 - Elsevier
Fractional order and fractal order are mathematical tools that can be used to model real-
world problems. In order to demonstrate the usefulness of these operators, we develop a …

Upper and Lower Solution Method for a Singular Tempered Fractional Equation with a p-Laplacian Operator

X Zhang, P Chen, H Tian, Y Wu - Fractal and Fractional, 2023 - mdpi.com
In this paper, we consider the existence of positive solutions for a singular tempered
fractional equation with ap-Laplacian operator. By constructing a pair of suitable upper and …

[PDF][PDF] λ-fixed point theorem with kinds of functions of mixed monotone operator

M Gholami, A Neamaty - Journal of Applied Analysis & …, 2023 - jaac-online.com
Our work is related to the existence and uniqueness of positive solution to the fractional
boundary value problem (BVP) with Riemann-Liouville fractional derivative. We employ the …

[HTML][HTML] The Existence of Positive Solutions for a p-Laplacian Tempered Fractional Diffusion Equation Using the Riemann–Stieltjes Integral Boundary Condition

L Li, X Zhang, P Chen, Y Wu - Mathematics, 2025 - mdpi.com
In this paper, we focus on the existence of positive solutions for a class of p-Laplacian
tempered fractional diffusion equations involving a lower tempered integral operator and a …

On a new fixed point theorem with an application on a coupled system of fractional differential equations

H Afshari, F Jarad, T Abdeljawad - Advances in Difference Equations, 2020 - Springer
In this work, new theorems and results related to fixed point theory are presented. The
results obtained are used for the sake of proving the existence and uniqueness of a positive …

[HTML][HTML] Multiple solutions for a class of nonlinear fourth-order boundary value problems

L Lin, Y Liu, D Zhao - Symmetry, 2020 - mdpi.com
This paper is concerned with multiple solutions for a class of nonlinear fourth-order
boundary value problems with parameters. By constructing a special cone and applying …

Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann–Stieltjes integral boundary value problems

B Zhou, L Zhang, N Zhang, E Addai - Advances in Difference Equations, 2020 - Springer
The primary objective of this research paper is to investigate two kinds of high-order
tempered fractional differential equations integral boundary value problems. By means of …

[PDF][PDF] The existence of solutions of integral boundary value problem for Hilfer fractional differential equations with p-Laplacian at resonance

F Meng, W Jiang, Y Liu, C Guo - J. Appl. Anal. Comput, 2022 - jaac-online.com
By using the extension of the continuous theorem of Ge and Ren, the solvability of integral
boundary value problems for Hilfer fractional differential equations with p-Laplacian is …

Multiple positive solutions and stability results for nonlinear fractional delay differential equations involving p ‐Laplacian operator

L Zhang, E Addai - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this paper, we study a system of multiple positive solutions and stability results for
nonlinear fractional delay differential equations involving pp‐Laplacian operator. We …

On the solvability and approximate solution of a one-dimensional singular problem for a p-Laplacian fractional differential equation

KS Jong, HC Choi, MC Kim, KH Kim, SH Jo… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, using the monotone iterative technique, we discuss a new approximate
method for solving multi-point boundary value problems of p-Laplacian fractional differential …