Results 141 to 150 of about 1,014 (157)

Measure of Noncompactness and Fractional Differential Equations in Frechet Spaces

Dynamic systems and applications, 2020
In this paper, the existence of solutions for an initial value problem of a fractional differential equation is obtained by means of Monch's fixed point theorem and the technique of measures of noncompactness. AMS (MOS) Subject Classification.
Fatima Mesri, M. Benchohra, J. Henderson
semanticscholar   +1 more source

Erdélyi–Kober fractional integral operators on ball Banach function spaces

, 2021
We establish the boundedness of the Erdélyi-Kober fractional integral operators on ball Banach function spaces. In particular, it gives the boundedness of the Erdélyi-Kober fractional integral operators on amalgam spaces and Morrey spaces.
K. Ho
semanticscholar   +1 more source

Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains

Studia Universitatis Babeş-Bolyai. Mathematica
. In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
Hüseyin Irmak
semanticscholar   +1 more source

Fractional Calculus Operator and Certain Applications in Geometric Function Theory

Sarajevo Journal of Mathematics
Using a operator involving fractional calculus introduced by Owa and Srivastava [8], two novel families: $${\mathcal V}_{\delta}^{\alpha, \beta}(\nu;\gamma)\;\; \mbox{and} \;\;{\mathcal W}_{\delta}^{\alpha, \beta}(\mu;\gamma)$$ $$(\delta\neq 0,\; \alpha
Useyin Irmak, N. Tuneski
semanticscholar   +1 more source

Existence and Ulam stability of initial value problem for fractional perturbed functional q-difference equations

Studia Universitatis Babeş-Bolyai. Mathematica
. In this work, we discuss the existence and uniqueness of solutions to the initial value problem for perturbed functional fractional q-difference equations involving q-derivative of the Caputo sense.
Nadia Allouch, Samira Hamami
semanticscholar   +1 more source

Complexified Lie Algebroids From a Generalized Stieltjes Action Approach to the Calculus of Variations

Sarajevo Journal of Mathematics
In this work, we communicate the issue of Lie algebroids. More precisely, we discuss the subject based on the generalized Stieltjes fractal-like approach of the calculus of variations.
A. R. El-Nabulsi, Guo-Cheng Wu, Mubasher Jamil   +2 more
semanticscholar   +1 more source

Discussing a Solution to Nonlinear Duffing Oscillator with Fractional Derivatives Using Homotopy Analysis Method (HAM)

, 2021
In this paper, we obtain an analytic solution to the initial valued problem of the Duffing oscillator with fractional order derivative. The Homotopy analysis method (HAM) was used to obtain the said analytic solution to the proposed initial valued ...
C. L. Ejikeme, M. Oyesanya, D. F. Agbebaku, M. B. Okofu   +3 more
semanticscholar   +1 more source

Multidimensional Fractional Iyengar Type Inequalities for Radial Functions

Progress in Fractional Differentiation and Applications, 2022
Here we derive a variety of multivariate fractional Iyengar type inequalities for radial functions de…ned on the shell and ball. Our approach is based on the polar coordinates in R , N 2, and the related multivariate polar integration formula.
G. Anastassiou
semanticscholar   +1 more source

A Fractional Cubic Spline Approach for Solving Models of Dynamical System

JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences
This article presents a novel numerical approach for solving dynamic system models using fractional cubic splines. The proposed method leverages the smoothness and flexibility of fractional cubic splines to approximate solutions of differential equations.
Karwan S. Mohammed, F. Hamasalh
semanticscholar   +1 more source

Existence and stability results to a class of $\psi$-Hilfer fractional Langevin inclusions with impulsive and time delay

Advanced Studies: Euro-Tbilisi Mathematical Journal
This work explores the stability and existence of a class of fractional Langevin inclusions with impulsive and time delay effects involving ψ -Hilfer derivative.
Ayoub Louakar, A. Kajounı, K. Hilal, Hamid Lmou   +3 more
semanticscholar   +1 more source