Results 31 to 40 of about 1,330 (174)
Annals of Mathematics and PhysicsIn the current study, the Jensen-Mercer inequality is extended to co-ordinated h-convex functions. Additionally, a novel inequality is employed to derive Hermite–Hadamard-Mercer type inequalities for h-convex functions defined on the co-ordinates of a ...
Toseef Muhammad +4 more
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Journal 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
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, 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
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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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Asia 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
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Simpson type quantum integral inequalities for convex functions
, 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
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TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
International Journal of Apllied Mathematics, 2019 We present a new inequality which involves the Caputo fractional derivative of the product of two continuously differentiable functions, and establish its various properties. The inequality and its properties enable us to construct potential time-varying
B. K. Lenka
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Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability
Open 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
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Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]
, 2012 MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
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Modeling and Stability Analysis of Time‐Dependent Free‐Fall Motion in Random Environments
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This paper examines the stability of a fractional‐order model that describes the free‐fall motion of a football in changing environmental conditions. Traditional models often overlook memory effects and nonlocal influences like air resistance, humidity, and turbulence.
Alireza Hatami +4 more
wiley +1 more source