Results 131 to 140 of about 20,134 (284)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley +1 more source
Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]
, 2010 Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Boyadjiev, Lyubomir, Nikolova, Yanka
core
Stability analysis of fractional differential system with Riemann–Liouville derivative
Mathematical and Computer Modelling, 2010 In this paper we focus on establishing stability theorems for fractional differential system with Riemann-Liouville derivative, in particular our analysis covers the linear system, the perturbed system and the time-delayed system.
Deliang Qian +3 more
openaire +1 more source
A study of forced oscillations via Hilfer fractional derivative
CQD Revista Eletrônica Paulista de Matemática, 2022 The present study seeks to understand the forced oscillations through modeling via fractional differential equation, using the derivative according to Hilfer and representing the external force as a succession of delta Dirac functions.
Silas de Sá Cavalcanti Melo +1 more
doaj
Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative
Journal of Taibah University for Science, 2020 In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
doaj +1 more source
Networks and Heterogeneous MediaThe purpose of this paper is to define and prove that the Riemann–Liouville and Caputo fractional derivatives can be computed for tempered distributions, such that the fractional derivative of a tempered distribution remains a tempered distribution.
Amin Benaissa Cherif +5 more
doaj +1 more source
On Generalized Composite Fractional Derivative
Walailak Journal of Science and Technology, 2014 In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite ...
Mridula GARG +3 more
doaj +1 more source
Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives [PDF]
, 2005 Dumitru Băleanu, Sami I. Muslih
openalex +1 more source
The general solution of impulsive systems with Riemann-Liouville fractional derivatives
Open Mathematics, 2016 AbstractIn this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero). The obtained result shows that the deviation caused by impulses for fractional-order system is undetermined.
Xianmin Zhang +4 more
openaire +3 more sources
Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives [PDF]
, 2006 Sami I. Muslih +2 more
openalex +1 more source