Results 41 to 50 of about 2,623 (193)

On fuzzy Volterra-Fredholm integrodifferential equation associated with Hilfer-generalized proportional fractional derivative

AIMS Mathematics, 2021
This investigation communicates with an initial value problem (IVP) of Hilfer-generalized proportional fractional (GPF) differential equations in the fuzzy framework is deliberated.
Saima Rashid, Fahd Jarad , Khadijah M. Abualnaja   +2 more
doaj   +1 more source

Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation

, 2004
A detailed study is presented for a large class of uncoupled continuous-time random walks (CTRWs). The master equation is solved for the Mittag-Leffler survival probability.
A. Compte, A.I. Saichev, E. Barkai, E. Barkai, E. Barkai, E. Scalas, E. Scalas, E.W. Montroll, E.W. Montroll, Enrico Scalas, F. Mainardi, F. Mainardi, F. Mainardi, Francesco Mainardi, G.H. Weiss, G.M. Zaslavsky, H.C. Fogedby, H.E. Roman, I.M. Sokolov, J. Klafter, J. Klafter, J. Klafter, J. Masoliver, J.K.E. Tunaley, J.K.E. Tunaley, J.K.E. Tunaley, M. Kotulski, M. Raberto, M.F. Shlesinger, M.F. Shlesinger, M.M. Meerschaert, R. Hilfer, R. Hilfer, R. Hilfer, R. Hilfer, R. Hilfer, R. Kutner, R. Kutner, R. Metzler, R. Metzler, R. Metzler, Rudolf Gorenflo, T. Huillet, T. Huillet, V. Balakrishnan, V.V. Uchaikin, V.V. Uchaikin, W.R. Schneider   +47 more
core   +1 more source

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

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

Subordination Pathways to Fractional Diffusion

, 2011
The uncoupled Continuous Time Random Walk (CTRW) in one space-dimension and under power law regime is splitted into three distinct random walks: (rw_1), a random walk along the line of natural time, happening in operational time; (rw_2), a random walk ...
D. Fulger, D. Kleinhans, E. Barkai, E. Scalas, F. Mainardi, F. Mainardi, F. Mainardi, G. Germano, H.C. Fogedby, M.M. Meerschaert, M.M. Meerschaert, R. Gorenflo, R. Gorenflo, R. Hilfer, R. Hilfer, R. Metzler, Y. Zhang, Z. Tomovski   +17 more
core   +1 more source

On two backward problems with Dzherbashian-Nersesian operator

AIMS Mathematics, 2023
We investigate the initial-boundary value problems for a fourth-order differential equation within the powerful fractional Dzherbashian-Nersesian operator (FDNO). Boundary conditions considered in this manuscript are of the Samarskii-Ionkin type.
Anwar Ahmad, Dumitru Baleanu
doaj   +1 more source

Hilfer-Prabhakar Derivatives and Some Applications

, 2014
We present a generalization of Hilfer derivatives in which Riemann--Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties.
Garra, Roberto, Gorenflo, Rudolf, Polito, Federico, Tomovski, Zivorad   +3 more
core   +1 more source

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

Some novel existence and uniqueness results for the Hilfer fractional integro-differential equations with non-instantaneous impulsive multi-point boundary conditions and their application

AIMS Mathematics, 2023
In this article, we discuss conditions that are sufficient for the existence of solutions for some ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive multi-point boundary conditions. By applying Krasnoselskii's and Banach'
Thabet Abdeljawad , Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Eman Al-Sarairah, Artion Kashuri , Kamsing Nonlaopon   +5 more
doaj   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source