Work

Analysis of fractional logistic integro-differential equations with time scales in medical sciences and industry

Year: 2025

Type: article

Abstract: This study investigates the theoretical and practical challenges in solving nonlinear pantograph integro-differential equations of fractional order on arbitrary time scales. It aims to establish the existence and uniqueness of solutions by incorporating two Riemann-Liouville fractional derivatives and applying advanced analytical tools, such as Schauder’s fixed point theory and the Banach contraction principle. Furthermore, the research demonstrates the practicality of the results through a MATLAB-based numerical example, graphical visualizations, and real-world applications of the pantograph equation, with a particular focus on industrial and medical instances to highlight its modeling relevance in these domains.

Source: Mathematical and Computer Modelling of Dynamical Systems

DOI: 10.1080/13873954.2025.2591961

Authors: Kottakkaran Sooppy Nisar, C. Anusha, C. Ravichandran, Ahmed Morsy

Institutions: Prince Sattam Bin Abdulaziz University, Kongunadu Arts and Science College

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,533

Funder: Prince Sattam bin Abdulaziz University