Results 21 to 30 of about 12,897,520 (259)
Mathematics, 2021 In this paper, we study the recently proposed fractional-order operators with general analytic kernels. The kernel of these operators is a locally uniformly convergent power series that can be chosen adequately to obtain a family of fractional operators ...
Oscar Martínez-Fuentes +3 more
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Results in Physics, 2022 The current research is about new exact soliton solutions to the Cahn–Allen equation and Predator–Prey model with the most general fractional derivative operator.
Shao-Wen Yao +5 more
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Generalized solutions of the fractional Burger’s equation
Results in Physics, 2019 We investigate the solutions for the fractional Burger’s equation based on the Jumarie fractional derivative using Bernoulli polynomials. We find general solutions for such problems. Comparison with other methods is presented.
Muhammed I. Syam +4 more
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Spectral approximations to the fractional integral and derivative [PDF]
, 2012 In this paper, the spectral approximations are used to compute the fractional integral and the Caputo derivative. The effective recursive formulae based on the Legendre, Chebyshev and Jacobi polynomials are developed to approximate the fractional ...
Li, Changpin +5 more
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Fractal and Fractional, 2023 In this paper, we investigate the necessary conditions to optimize a given functional, involving a generalization of the tempered fractional derivative.
Ricardo Almeida
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A maximum principle for a fractional boundary value problem with convection term and applications
Mathematical Modelling and Analysis, 2019 We consider a fractional boundary value problem with Caputo-Fabrizio fractional derivative of order 1 < α < 2 We prove a maximum principle for a general linear fractional boundary value problem.
Mohammed Al-Refai, Kamal Pal
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New theoretical results and applications on conformable fractional Natural transform
Ain Shams Engineering Journal, 2021 In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version.
Zeyad Al-Zhour +3 more
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Solving General Differential Equations of Fractional Orders Via Rohit Transform [PDF]
Kirkuk Journal of Scienceinspecting the attributes of derivatives and integrals of fractional orders known as fractional derivatives and integrals. In this article, a far-out complex integral transform known as the Rohit transform (RT) is put into use for working out general ...
Rohit Gupta, Rahul Gupta, Dinesh Verma
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Electrical engineering & Electromechanics, 2023 Introduction. Recently, the most desired goal in DC motor control is to achieve a good robustness and tracking dynamic of the set-point reference speed of the feedback control system. Problem.
T. Amieur +4 more
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On a Fractional Operator Combining Proportional and Classical Differintegrals
Mathematics, 2020 The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by fractional differential equations. It is defined, for a differentiable function f ( t ) , by a fractional integral operator applied to
Dumitru Baleanu +2 more
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