Results 41 to 50 of about 310 (184)
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit +4 more
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Nonlinear Time-Fractional Differential Equations in Combustion Science [PDF]
, 2011 MSC 2010: 34A08 (main), 34G20, 80A25The application of Fractional Calculus in combustion science to model the evolution in time of the radius of an isolated premixed flame ball is highlighted.
Gianni Pagnini, Pagnini, Gianni
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System of partial differential hemivariational inequalities involving nonlocal boundary conditions
Demonstratio MathematicaLet FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
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Numerical approach to the controllability of fractional order impulsive differential equations
Demonstratio Mathematica, 2020 In this manuscript, a numerical approach for the stronger concept of exact controllability (total controllability) is provided. The proposed control problem is a nonlinear fractional differential equation of order α∈(1,2]\alpha \in (1,2] with non ...
Kumar Avadhesh +3 more
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Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani +3 more
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Demonstratio MathematicaIn this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative.
Wang Guotao +3 more
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Demonstratio Mathematica, 2023 In this article, we discuss the existence of a unique solution to a ψ\psi -Hilfer fractional differential equation involving the pp-Laplacian operator subject to nonlocal ψ\psi -Riemann-Liouville fractional integral boundary conditions.
Alsaedi Ahmed +3 more
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Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani +4 more
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Positive solution of Hilfer fractional differential equations with integral boundary conditions
, 2021 In this article, we have interested the study of the existence and uniqueness of positive solutions of the first-order nonlinear Hilfer fractional differential equation... ...
ALMALAHI , Mohammed A. +2 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study employs the modified Atangana–Baleanu Caputo (MABC) fractional derivative to investigate fractional linear electrical systems. The MABC operator is defined through a convolution representation that extends the admissible function space from H1(0, 1) to the broader class L1(0, 1); on the smooth source terms and nonlinearity considered here ...
Ekta Mittal +3 more
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