Results 41 to 50 of about 183 (79)

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
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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

Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay [PDF]

, 2010
MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo ...
Abbas, Saïd, Benchohra, Mouffak
core  

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
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Coron problem for fractional equations [PDF]

, 2014
We prove that the critical problem for the fractional Laplacian in an annular type domain admits a nontrivial solution provided that the inner hole is sufficiently small.Comment: 10 pages, revised ...
Secchi, Simone, Shioji, Naoki, Squassina, Marco   +2 more
core  

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
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(R1517) Asymptotical Stability of Riemann-Liouville Fractional Neutral Systems with Multiple Time-varying Delays [PDF]

, 2022
In this manuscript, we investigate the asymptotical stability of solutions of Riemann-Liouville fractional neutral systems associated to multiple time-varying delays.
Korkmaz, Erdal, Ozdemir, Abdulhamit
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Regolarità massimale per il problema misto parabolico di cauchy-dirichlet con derivata temporale frazionaria [PDF]

, 2018
In this seminar we illustrate some results of maximal regularity for the Cauchy-Dirichlet mixed problem, with a fractional time derivative of Caputo type in spaces of continuous and Hölder continuous functions.In questo seminario presentiamo alcuni ...
Guidetti, Davide
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A new non-conformable derivative based on Tsallis’s q- exponential function [PDF]

, 2021
In this paper, a new derivative of local type is proposed and some basic properties are studied. This new derivative satisfies some properties of integer-order calculus, e.g. linearity, product rule, quotient rule and the chain rule.
Reis, Cristina de Andrade Santos, Silva Junior, Rinaldo Vieira da   +1 more
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Some New Results on Nonconformable Fractional Calculus [PDF]

, 2018
In this paper, we present some results for a local fractional derivative, not con-formable, defined by the authors in a previous work, and which are closely relatedto some of the classic calculus.Fil: Nápolos Valdés, Juan E..
Guzmán, Paulo Matias, Lugo, Luciano M., Nápolos Valdés, Juan E.   +2 more
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