Results 11 to 20 of about 25 (25)

Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method

Alexandria Engineering Journal, 2020
Very recently, Yang, Abdel-Aty and Cattani (2019) introduced a new and intersting fractional derivative operator with non-singular kernel involving Rabotnov fractional-exponential function.
Mohamed Jleli, Sunil Kumar, Ranbir Kumar, Bessem Samet   +3 more
doaj   +1 more source

About the Use of Generalized Forms of Derivatives in the Study of Electromagnetic Problems

Applied Sciences, 2021
The use of non-local operators, defining Riemann–Liouville or Caputo derivatives, is a very useful tool to study problems involving non-conventional diffusion problems.
Giulio Antonini, Giuseppe Dattoli, Fabrizio Frezza, Silvia Licciardi, Fabrizio Loreto   +4 more
doaj   +1 more source

Weighted fractional differential equations with infinite delay in Banach spaces

Open Mathematics, 2016
This paper is devoted to the study of fractional differential equations with Riemann-Liouville fractional derivatives and infinite delay in Banach spaces. The weighted delay is developed to deal with the case of non-zero initial value, which leads to the
Dong Qixiang, Liu Can, Fan Zhenbin
doaj   +1 more source

A new method for converting boundary value problems for impulsive fractional differential equations to integral equations and its applications

Advances in Nonlinear Analysis, 2017
In this paper, we present a new method for converting boundary value problems of impulsive fractional differential equations to integral equations. Applications of this method are given to solve some types of anti-periodic boundary value problems for ...
Liu Yuji
doaj   +1 more source

A Computational Scheme Based on Fractional Basis Functions For Solving Fractional Bagley–Torvik Equation

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study aims to present a spectral collocation approach for treating fractional Bagley–Torvik equations using fractional basis functions. The Bagley–Torvik equation is critically important in a wide range of applied scientific and engineering disciplines. The fractional form of the Bagley–Torvik equations enables the modeling of complex systems with
Taghipour M., Aminikhah H., Chang Phang
wiley   +1 more source

Existence results for fractional integro-differential inclusions with state-dependent delay

Nonautonomous Dynamical Systems, 2017
In this paper we are concerned with a class of abstract fractional integro-differential inclusions with infinite state-dependent delay. Our approach is based on the existence of a resolvent operator for the homogeneous equation.We establish the existence
Siracusa Giovana, Henríquez Hernán R., Cuevas Claudio   +2 more
doaj   +1 more source

Predicting the solution of fractional order differential equations with Artificial Neural Network

Partial Differential Equations in Applied Mathematics
The present paper aims to propose an approximation method of Caputo fractional operator using discretization based on quadrature theory to minimize the error function for an Artificial Neural Network (ANN) with higher convergence rate.
A.M. Khan, Sanjay Gaur, D.L. Suthar
doaj   +1 more source

Computational analysis and wave propagation behavior of hyper-geometric soliton waves in plasma physics via the auxiliary equation method

Partial Differential Equations in Applied Mathematics
This study investigate the widely used nonlinear fractional Kairat-II (K-II) model, which is used to explain the differential geometry of curves and equivalence aspects.
M. Al-Amin, M. Nurul Islam, M. Ali Akbar
doaj   +1 more source

Mathematical analysis of some new adequate broad-ranging soliton solutions of nonlinear models through the recent technique

Partial Differential Equations in Applied Mathematics
The Bogoyavlenskii and the simplified modified Camassa-Holm (SMCH) models are studied through the recent technique namely auxiliary equation method in this paper.
M. Ashikur Rahman, M. Al-Amin, Mst. Kamrunnaher, M. Abul Kawser, Rajaul Haque, M. Ali Akbar, M. Nurul Islam   +6 more
doaj   +1 more source

Solving fractional Bagley-Torvik equation by fractional order Fibonacci wavelet arising in fluid mechanics

Ain Shams Engineering Journal
This study introduces a new fractional order Fibonacci wavelet technique proposed for solving the fractional Bagley-Torvik equation (BTE), along with the block pulse functions.
Pooja Yadav, Shah Jahan, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source