Results 41 to 50 of about 2,624 (188)

Stationarity-conservation laws for certain linear fractional differential equations

, 2001
The Leibniz rule for fractional Riemann-Liouville derivative is studied in algebra of functions defined by Laplace convolution. This algebra and the derived Leibniz rule are used in construction of explicit form of stationary-conserved currents for ...
Douglas J F, Hilfer R, Hilfer R, Hilfer R, Klimek M, Malgorzata Klimek, Miller K S, Nigmatullin R R, Oldham K B, Osler T J, Osler T J, Osler T J, Podlubny I, Samko S G, Schiessel H, Takahashi Y, Zavada P   +16 more
core   +2 more sources

Integral transforms of the κ-Hilfer fractional derivative [PDF]

, 2021
In this paper, some important properties concerning the κ -Hilfer fractional derivative are discussed. Integral transforms for these operators are derived as particular cases of the Jafari transform.
Felix Costa, Junior Cesar Alves Soares, Stefânia Jarosz   +2 more
openaire   +1 more source

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Universal Journal of Mathematics and Applications, 2020
In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
doaj   +1 more source

Existence of solutions for boundary value problems of fractional impulsive differential equations with Hilfer

Journal of Hebei University of Science and Technology, 2023
In order to extend the basic theory of boundary value problems, the existence of solutions for a class of Hilfer fractional impulsive differential equations with finite impulsive points was studied.
Chunjing GUO, Fanmeng MENG, Kun CHEN, Weihua JIANG   +3 more
doaj   +1 more source

Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke’s subdifferential

Journal of Inequalities and Applications, 2019
Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s ...
Hamdy M. Ahmed, Mahmoud M. El-Borai, A. S. Okb El Bab, M. Elsaid Ramadan   +3 more
doaj   +1 more source

Best approximation of a nonlinear fractional Volterra integro-differential equation in matrix MB-space

Advances in Difference Equations, 2021
In this article, we introduce a class of stochastic matrix control functions to stabilize a nonlinear fractional Volterra integro-differential equation with Ψ-Hilfer fractional derivative.
Reza Chaharpashlou, Reza Saadati
doaj   +1 more source

Five Years of Continuous-time Random Walks in Econophysics

, 2004
This paper is a short review on the application of continuos-time random walks to Econophysics in the last five years.Comment: 14 pages.
Scalas, Enrico
core   +2 more sources

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

Existence of mild solutions for Sobolev-type Hilfer fractional evolution equations with boundary conditions

Boundary Value Problems, 2018
This paper is concerned with the fractional differential equations of Sobolev type with boundary conditions in a Banach space. With the help of the properties of Hilfer fractional calculus, the theory of propagation families as well as the theory of the ...
Haide Gou, Baolin Li
doaj   +1 more source

Infrared spectroscopy of diatomic molecules - a fractional calculus approach

, 2012
The eigenvalue spectrum of the fractional quantum harmonic oscillator is calculated numerically solving the fractional Schr\"odinger equation based on the Riemann and Caputo definition of a fractional derivative.
Dirac P. A. M., Eid R., Erdelyi A., Greiner W., Herrmann R., Herrmann R., Herzberg G., Huygens C., Khunrath H., Krause K., Lissajous J. A., Lusztig R., Messiah A., Oldham K. B., Parisi G., Podlubny I., RICHARD HERRMANN, Rubin B., Seybold H. J., Villeneuve D. M., Whitten K. W.   +20 more
core   +1 more source