Results 51 to 60 of about 14,096 (164)
On generalized composite fractional q-derivative
Le Matematiche, 2015 In the present paper, we define a generalized composite fractional q-derivative D^{\alpha,\beta,\nu}_q and obtain some results for it. These results are image of power function under D^{\alpha,\beta,\nu}_q, composition of Riemann-Liouville type fractional q-integral I^\alpha_q with D^{\alpha,\beta,\nu}_q and q-Laplace transform of D^{\alpha,\beta,\nu}
Mridula Garg +2 more
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On the solutions of fractional reaction-diffusion equations
Le Matematiche, 2013 In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative.
Jagdev Singh +2 more
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Entropy, 2018 In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time.
Xin Liang +4 more
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The Cauchy problems for q-difference equations with the Caputo fractional derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2022 The fractional differential equations play important roles due to their numerous applications and also for the important role they play not only in mathematics but also in other sciences.
S. Shaimardan +2 more
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Some applications of generalized fractional derivatives
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, 2022 The paper presents a concise summary of main properties of generalized fractional derivatives, so-called convolution type derivatives with respect to Bernstein functions. Applications are considered to modeling time dependent random fields on the sphere as solutions to partial differential equations with the generalized fractional derivative in time ...
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Response of Fractionally Damped Beams with General Boundary Conditions Subjected to Moving Loads
Shock and Vibration, 2012 This paper presents the transverse vibration of Bernoulli-Euler homogeneous isotropic damped beams with general boundary conditions. The beams are assumed to be subjected to a load moving at a uniform velocity.
R. Abu-Mallouh +3 more
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On a new and generalized fractional model for a real cholera outbreak
Alexandria Engineering Journal, 2022 In this paper, a new mathematical model involving the general form of Caputo fractional derivative is studied for a real case of cholera outbreak. Fundamental properties of the new model including the equilibrium points as well as the basic reproduction ...
Dumitru Baleanu +3 more
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Alexandria Engineering Journal, 2020 Very recently, Yang, Abdel-Aty and Cattani (2019) introduced a new and intersting fractional derivative operator with non-singular kernel involving Rabotnov fractional-exponential function.
Mohamed Jleli +3 more
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Optimal homotopy asymptotic method for solving several models of first order fuzzy fractional IVPs
Alexandria Engineering Journal, 2022 In this work, the Optimal Homotopy Asymptotic Method (OHAM) is prolifically implemented to find the optimal solutions of fractional order of fuzzy differential equations.
Dulfikar Jawad Hashim +4 more
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GENERALIZED LAPLACE TRANSFORM AND TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE
Mathematical Modelling and Analysis, 2023 In this paper, images of the tempered Ψ-Hilfer fractional integral and the tempered Ψ-Caputo fractional derivative under the generalized Laplace transform are derived. The results are applied to find a solution to an initial value problem for a nonhomogeneous linear fractional differential equation with the tempered Ψ-Caputo fractional derivative of an
Milan Medveď, Michal Pospíšil
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