Results 21 to 30 of about 1,085 (139)

A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients

, 2018
In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
core   +2 more sources

Local discontinuous Galerkin methods for fractional ordinary differential equations [PDF]

, 2014
This paper discusses the upwinded local discontinuous Galerkin methods for the one-term/multi-term fractional ordinary differential equations (FODEs).
Deng, Weihua, Hesthaven, Jan S.
core   +2 more sources

On the Well-Posedness and Stability Analysis of Nonlinear Fractional Integrodifferential Equations Subject to Integral Boundary Constraints

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 34A08, 34B18, 34K06 ...
Yahia Awad, Mirvet Abou Omar, Hussein Fakih, Sami Hammoud   +3 more
doaj   +1 more source

Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]

, 2012
MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core  

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, Manisha, D. L. Suthar, S. D. Purohit, Ahmed Saoudi   +4 more
wiley   +1 more source

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

Demonstratio Mathematica, 2019
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–Hadamard type fractional differential system are obtained by using Kransnoselskii’s fixed point theorem.
Ahmad Manzoor, Zada Akbar, Alzabut Jehad
doaj   +1 more source

Hilfer proportional nonlocal fractional integro-multipoint boundary value problems

Open Mathematics, 2023
In this article, we introduce and study a boundary value problem for (k,χ¯*)\left(k,{\bar{\chi }}_{* })-Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary ...
Samadi Ayub, Ntouyas Sotiris K., Cuntavepanit Asawathep, Tariboon Jessada   +3 more
doaj   +1 more source

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav, M. M. Gour, S. D. Purohit, D. L. Suthar, A. M. Nagy   +4 more
wiley   +1 more source

Monotonicity and oscillation for fractional differential equations with Riemann-Liouville derivatives

Demonstratio Mathematica
Monotonicity, oscillation, and asymptotic behavior of solutions of nonlinear fractional differential equations are investigated. Fractional differential equations are classified according to their oscillation properties, and a comparison between the ...
Bartušek Miroslav, Došlá Zuzana
doaj   +1 more source

Optimal random search, fractional dynamics and fractional calculus

, 2013
What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the L\'evy flight is the best option to characterize this optimal problem, however, which ...
Chen, YangQuan, Zeng, Caibin
core   +1 more source