Results 71 to 80 of about 14,096 (164)

Nonlinear sequential fractional boundary value problems involving generalized ψ-Caputo fractional derivatives

Filomat, 2022
This paper is devoted to study the nonlinear sequential fractional boundary value problems involving generalized ?-Caputo fractional derivatives with nonlocal boundary conditions. We investigate the Green function and some of its properties, from which we obtain a new Lyapunov-type inequality for our problem.
openaire   +2 more sources

Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control

Discrete Dynamics in Nature and Society, 2017
In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system ...
Fathalla A. Rihan, Chinnathambi Rajivganthi, Palanisamy Muthukumar   +2 more
doaj   +1 more source

Fractional Curvatures of Equiaffine Curves in Three-Dimensional Affine Space

Journal of New Theory
This paper presents a method for computing the curvatures of equiaffine curves in three-dimensional affine space by utilizing local fractional derivatives.
Meltem Öğrenmiş
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Numerical simulations for fractional differential equations of higher order and a wright-type transformation

Partial Differential Equations in Applied Mathematics
In this work, a new relationship is established between the solutions of higher order fractional differential equations and a Wright-type transformation. Solutions could be interpreted as expected values of functions in a random time process.
M. Nacianceno, T. Oraby, H. Rodrigo, Y. Sepulveda, J. Sifuentes, E. Suazo, T. Stuck, J. Williams   +7 more
doaj   +1 more source

Moving-boundary problems for the time-fractional diffusion equation

Electronic Journal of Differential Equations, 2017
We consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation. The time-fractional derivative of order $\alpha\in (0,1)$ is taken in the sense of Caputo.
Sabrina D. Roscani
doaj  

Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels

Fractal and Fractional
In this paper, we introduce a general fractional master equation involving regularized general fractional derivatives with Sonin kernels, and we discuss its physical characteristics and mathematical properties.
Maryam Alkandari, Dimitri Loutchko, Yuri Luchko   +2 more
doaj   +1 more source

Global existence and general decay of solutions for a wave equation with memory, fractional boundary damping terms and logarithmic non-linearity

Partial Differential Equations in Applied Mathematics
This study examines the general decomposition and global existence of solutions of the nonlinear wave equation, considering the incorporation of fractional derivative boundary conditions and memory components.
Mohammed Said Touati Brahim, Nadjet Doudi, Rafik Guefaifia, Rashid Jan, Rabab Alharbi, Salah Boulaaras   +5 more
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Generalized Local Fractional Taylor's Formula with Local Fractional Derivative

, 2011
In the present paper, a generalized local Taylor formula with the local fractional derivatives (LFDs) is proposed based on the local fractional calculus (LFC). From the fractal geometry point of view, the theory of local fractional integrals and derivatives has been dealt with fractal and continuously non-differentiable functions, and has been ...
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Impulsive fractional functional differential equations with a weakly continuous nonlinearity

Electronic Journal of Differential Equations, 2017
A general theorem on the local and global existence of solutions is established for an impulsive fractional delay differential equation with Caputo fractional substantial derivative in a separable Hilbert space under the assumption that the ...
Yejuan Wang, Fengshuang Gao, Peter Kloeden   +2 more
doaj  

Differential operator generalized by fractional derivatives [PDF]

Miskolc Mathematical Notes, 2011
Ibrahim, Rabha W., Darus, Maslina
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