Results 11 to 20 of about 12,897,520 (259)
Alexandria Engineering JournalIn this manuscript, we present the general fractional derivative (FD) along with its fractional integral (FI), specifically the ψ-Caputo–Katugampola fractional derivative (ψ-CKFD).
Lakhlifa Sadek +2 more
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A new fractional derivative extending classical concepts: Theory and applications [PDF]
Partial Differential Equations in Applied MathematicsIn this paper, a novel general definition for the fractional derivative and fractional integral based on an undefined kernel function is introduced.
Mutaz Mohammad, Mohamed Saadaoui
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +5 more
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Fractional variational problems with the Riesz-Caputo derivative [PDF]
, 2012 In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Ricardo Almeida
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Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Time-space variable-order fractional nonlinear system of thermoelasticity: numerical treatment
Advances in Difference Equations, 2020 This paper focuses on a numerical study of the general time-space variable-order fractional nonlinear problem of thermoelasticity in one dimension using the weighted average nonstandard finite difference (WANSFD).
Taghreed A. Assiri
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Fractional derivative and Midpoint rules [PDF]
, 2022 The fractional derivative has a long history in mathematics dating back further than integer-order derivative, but it did not gain traction until recently.
Ayash, Jayden
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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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New applications of the new general integral transform method with different fractional derivatives
Alexandria Engineering Journal, 2023 Integral transforms are a versatile mathematical technique that can be applied in a wide range of science and engineering fields. We consider the general integral transform with the Caputo derivative and Constant Proportional Caputo derivative in this ...
Ali Akgül +4 more
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A new general fractional-order derivative with Rabotnov fractional-exponential kernel / [PDF]
, 2019 In this article, a general fractional-order derivative of the Riemann-Liouville type with the non-singular kernel involving the Rabotnov fractional-exponential function is addressed for the first time.
Tana, Thiab, +2 more
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