Results 1 to 10 of about 204,305 (103)
Results in Physics, 2023 This work deals with the distributed-order time fractional nonlinear diffusion-wave equations. These equations are generated by replacing the first- and second-order time derivative terms with the distributed-order fractional derivative terms.
M.H. Heydari, S. Rashid, Yu-Ming Chu
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Numerical Solution of Variable-Order Fractional Differential Equations Using Bernoulli Polynomials [PDF]
Fractal and Fractional, 2021 We introduce a new numerical method, based on Bernoulli polynomials, for solving multiterm variable-order fractional differential equations. The variable-order fractional derivative was considered in the Caputo sense, while the Riemann–Liouville integral
Pedro M Lima +2 more
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Genocchi polynomials for variable-order time fractional Fornberg–Whitham type equations
Partial Differential Equations in Applied Mathematics, 2023 In this research, a kind of non-singular variable-order fractional derivative is utilized to define two types of variable-order fractional Fornberg–Whitham equations.
M.H. Heydari, Sh. Zhagharian
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Alexandria Engineering Journal, 2021 This article aims to introduce a new method, called the Natural Transform Iterative Method (NTIM) for the solution of fractional order differential equations. The natural transform iterative method is a modification to the natural transform decomposition
Rashid Nawaz +5 more
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Ain Shams Engineering Journal, 2018 In this paper, we use Bernstein polynomials to seek the numerical solution of a class of nonlinear variable order fractional differential equation. The fractional derivative is described in the Caputo sense.
Yi-ming Chen +3 more
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Numerical solutions of multi-order fractional differential equations by Boubaker polynomials
Open Physics, 2016 In this paper, we have applied a numerical method based on Boubaker polynomials to obtain approximate numerical solutions of multi-order fractional differential equations.
Bolandtalat A., Babolian E., Jafari H.
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Axioms, 2020 We propose two efficient numerical approaches for solving variable-order fractional optimal control-affine problems. The variable-order fractional derivative is considered in the Caputo sense, which together with the Riemann–Liouville integral operator ...
Somayeh Nemati, Delfim F. M. Torres
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Results in Physics, 2023 In this study, a system of coupled distributed-order fractional Klein–Gordon–Schrödinger equations is introduced. The distributed-order fractional derivative is generated based on the Caputo fractional differentiation.
M.H. Heydari
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Invariant Image Representation Using Novel Fractional-Order Polar Harmonic Fourier Moments
Sensors, 2021 Continuous orthogonal moments, for which continuous functions are used as kernel functions, are invariant to rotation and scaling, and they have been greatly developed over the recent years.
Chunpeng Wang +5 more
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Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 A new numerical scheme based on Genocchi polynomials is constructed to solve fractional Sturm–Liouville problems of order two in which the fractional derivative is considered in the Caputo sense. First, the differen-tial equation with boundary conditions
A. Aghazadeh +2 more
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