Volume 11 (2026)
Volume 10 (2025)
Volume 9 (2024)
Volume 8 (2023)
Volume 7 (2022)
Volume 6 (2021)
Volume 5 (2020)
Volume 4 (2019)
Volume 3 (2018)
Volume 2 (2017)
Volume 1 (2016)
Main Subjects = Fractional Systems
Number of Articles: 4
Solving Variable-Order Fractional Integro-Differential Equations Using the Two-Dimensional Fractional-Order Fibonacci Wavelets Operational Matrix
Articles in Press, Accepted Manuscript, Available Online from 21 April 2026
Abstract
This paper presents a novel numerical method for solving variable-order fractional integro-differential equations using two-dimensional fractional-order Fibonacci wavelets. The proposed approach employs fractional-order Fibonacci wavelets together with their associated integral and derivative operational ... Read More)
Ritz-Approximation Method for Solving Variable-Order Fractional Mobile-Immobile Advection-Dispersion Equations
Volume 11, Issue 1 , January 2026, , Pages 101-114
Abstract
The advection-dispersion, variable-order differential equations have a vast application in fluid physics and energy systems. In this study, we propose a Ritz-approximation method using shifted Legendre polynomials to construct approximate numerical solutions for these equations. The ... Read More)
Existence and Uniqueness of High-Order Caputo Fractional Boundary Value Problems under General Non-Local Multi-Point Conditions: Analytical and Semi-Analytical Approaches
Volume 10, Issue 2 , July 2025, , Pages 153-184
Abstract
In this paper, we investigate the existence and uniqueness of solutions for a high-order boundary value problem involving non-integer derivatives, specifically utilizing the Caputo fractional derivative. The problem is subject to non-local boundary conditions. To ... Read MoreMathematical Modeling and Optimal Control of Carbon Dioxide Emissions
Volume 9, Issue 1 , May 2024, , Pages 195-202