Results 31 to 40 of about 1,294 (167)

A new numerical technique for solving fractional Bratu’s initial value problems in the Caputo and Caputo-Fabrizio sense

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2020
The purpose of this paper is to propose a new numerical technique called the natural decomposition method (NDM) for solving fractional Bratu’s initial value problems (FBIVP) in the Caputo and Caputo-Fabrizio sense.
A. Khalouta, A. Kadem
semanticscholar   +1 more source

Optimal control of a fractional order epidemic model with application to human respiratory syncytial virus infection [PDF]

open access: yes, 2018
A human respiratory syncytial virus surveillance system was implemented in Florida in 1999, to support clinical decision-making for prophylaxis of premature newborns. Recently, a local periodic SEIRS mathematical model was proposed in [Stat. Optim.
Rosa, Silverio, Torres, Delfim F. M.
core   +2 more sources

Numerical approach to the controllability of fractional order impulsive differential equations

open access: yesDemonstratio 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
doaj   +1 more source

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

open access: yes, 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

Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability

open access: yesOpen Mathematics, 2020
In this article, we discuss the nonlinear boundary value problems involving both left Riemann-Liouville and right Caputo-type fractional derivatives. By using some new techniques and properties of the Mittag-Leffler functions, we introduce a formula of ...
Wang Huiwen, Li Fang
doaj   +1 more source

Efficiently Addressing Fractional-Order Population Diffusion Equations: Kamal Residual Power Series Method

open access: yesAsia Pacific Journal of Mathematics
. In this study, we utilized the Kamal residual power series method to solve the fractional-order population diffusion equation in the Caputo sense. This method combines the residual power series method with the Kamal transformation integral.
Prapart Pue-on   +2 more
semanticscholar   +1 more source

Simpson type quantum integral inequalities for convex functions

open access: yes, 2018
In this paper we establish some new Simpson type quantum integral inequalities for convex functions. Moreover, we obtain some inequalities for special means.
Mevlut Tunc, E. Göv, S. Balgecti
semanticscholar   +1 more source

Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]

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

Fractional Sturm-Liouville eigenvalue problems, II

open access: yes, 2017
We continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary
Dehghan, Mohammad, Mingarelli, Angelo B.
core   +1 more source

Trajectory Controllability of Fractional Neutral Stochastic Dynamical Systems of Order α ∈ (1, 2] With Deviating Argument

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan   +5 more
wiley   +1 more source

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