Results 21 to 30 of about 14,096 (164)
Nonlinear Engineering, 2023 A nonlinear Boussinesq equation under fractal fractional Caputo’s derivative is studied. The general series solution is calculated using the double Laplace transform with decomposition. The convergence and stability analyses of the model are investigated
Algahtani Obaid J.
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Generalized Extended Riemann-Liouville Type Fractional Derivative Operator
Kragujevac Journal of Mathematics, 2023 In this paper, we present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [?]. Some recurrence relations, transformation formulas, Mellin transform and integral representations are obtained for these ...
Abbas, Hafida +3 more
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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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Fractional derivative generalization of Noether’s theorem
Open Mathematics, 2015 Abstract The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples ...
Khorshidi Maryam +2 more
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On Hilfer generalized proportional fractional derivative [PDF]
Advances in Difference Equations, 2020 AbstractMotivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional derivative. Some important properties of the proposed derivative are presented. Based on the proposed
Idris Ahmed +4 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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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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Generalized Fractional Derivative Anisotropic Viscoelastic Characterization [PDF]
Materials, 2012 Isotropic linear and nonlinear fractional derivative constitutive relations are formulated and examined in terms of many parameter generalized Kelvin models and are analytically extended to cover general anisotropic homogeneous or non-homogeneous as well as functionally graded viscoelastic material behavior.
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On generalized $\mathtt{k}$-fractional derivative operator
AIMS Mathematics, 2020 الهدف الرئيسي من هذه الورقة هو تقديم عامل المشتقات الكسرية $\ mathtt {k }$ باستخدام تعريف دالة $\mathtt{k }$-beta. تحدد هذه الورقة بعض النتائج المتعلقة بالمعامل الكسري المحدد حديثًا مثل تحويل Mellin والعلاقات مع $\ mathtt{k }$- hypergeometric و $\mathtt{k }$- دوال Appell.
Gauhar Rahman +2 more
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