Results 91 to 100 of about 2,623 (193)

Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative

Issues of Analysis, 2020
Motivated by the idea of implicit ordinary differential equations, in this work, authors consider a class of periodic boundary value problem for nonlinear implicit fractional differential equations. The derivative is taken in the sense of Hilfer fractional derivative.
M. A. Almalahi, M. S. Abdo, S. K. Panchal   +2 more
openaire   +3 more sources

Investigation on the Controllability of Semilinear Integrodifferential Fractional Stochastic Control System in Conformable Sense With Impulses

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Controllability concepts have been essential across various disciplines, including control theory, engineering, and applied mathematics. According to Kalman’s definition, controllability points to the capacity to move a control system’s solution from any initial state to a desired state by a predetermined terminal time.
Maher Jneid, Guotao Wang
wiley   +1 more source

On the fractional Laplacian of a function with respect to another function

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.
The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez, Joel E. Restrepo, Jean‐Daniel Djida   +2 more
wiley   +1 more source

Fractional telegraph equation, Mittag-Leffler function, Hilfer derivative, Hadamard fractional derivative, Riesz-Feller space-fractional derivative

, 2015
In this paper we consider space-time fractional telegraph equations, where the time derivatives are intended in the sense of Hilfer and Hadamard while the space fractional derivatives are meant in the sense of Riesz-Feller. We provide the Fourier transforms of the solutions of some Cauchy problems for these fractional equations.
Saxena, Ram K., Garra, R., Orsingher, E.
openaire   +2 more sources

Existence and uniqueness for a problem involving Hilfer fractional derivative

Computers & Mathematics with Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Furati, K.M., Kassim, M.D., Tatar, N.e-.
openaire   +2 more sources

Solution of Fractional Differential Equations Involving Hilfer-Hadamard Fractional Derivatives

Indian Journal Of Science And Technology
Objectives: The aim is to establish prerequisite properties for the Hilfer-Hadamard fractional derivatives and address boundary value problems related to fractional polar Laplace and fractional Sturm-Liouville equations involving Hilfer-Hadamard fractional derivatives. Methods: Existing definitions and findings are utilized to obtain the properties for
Lata Chanchlani, Pratibha Manohar, Ajay Sharma, Sangeeta Choudhary   +3 more
openaire   +1 more source

Fuzzy Fractional Boundary Value Problems With Hilfer Fractional Derivatives

Asia Pacific Journal of Mathematics, 2023
Elhoussain Arhrrabi, M’hamed Elomari, Said Melliani, Lalla Saadia Chadli   +3 more
openaire   +2 more sources

Controllability of impulsive nonlinear ψ-Hilfer fractional integro-differential equations

Results in Control and Optimization
Sufficient conditions for controllability of impulsive nonlinear integro-differential equations with ψ-Hilfer fractional derivative are established. The result are obtained by using fractional calculus and Schaefer’s fixed point theorem.
A.M. Sayed Ahmed, Mahmoud A. AL-Nahhas, Othman A.M. Omar, Dimplekumar N. Chalishajar, Hamdy M. Ahmed   +4 more
doaj   +1 more source

On the Existence of Solutions and Ulam-Type Stability for a Nonlinear ψ-Hilfer Fractional-Order Delay Integro-Differential Equation

Fractal and Fractional
In this work, we address a nonlinear ψ-Hilfer fractional-order Volterra integro-differential equation that incorporates n-multiple-variable time delays.
Cemil Tunç, Fehaid Salem Alshammari, Fahir Talay Akyıldız   +2 more
doaj   +1 more source

Leibniz type rule: $\Psi-$Hilfer fractional derivative

, 2018
Comment: 16 ...
Sousa, J. Vanterler da C., de Oliveira, E. Capelas   +1 more
openaire   +1 more source