Results 41 to 50 of about 9,528 (243)
The unified Riemann-Liouville fractional derivative formulae
Tamkang Journal of Mathematics, 2005 In this paper, we obtain two unified fractional derivative formulae. The first involves the product of two general class of polynomials and the multivariable $H$-function. The second fractional derivative formula also involves the product of two general class of polynomials and the multivariable $H$-function and has been obtained by the application of ...
R. C. Soni, Deepika Singh
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Axioms, 2023 In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
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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 ...
Hafida, Abbas +3 more
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, 2009 We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
R. Agarwal, M. Belmekki, M. Benchohra
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Mathematics, 2020 This paper presents a class of implicit pantograph fractional differential equation with more general Riemann-Liouville fractional integral condition. A certain class of generalized fractional derivative is used to set the problem.
Idris Ahmed +5 more
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Advances in Mathematical Physics, 2013 We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
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Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative [PDF]
Applied Numerical Mathematics, 2019 32 pages, 2 ...
Daxin Nie, Jing Sun, Weihua Deng
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Space-Time Fractional Reaction-Diffusion Equations Associated with a Generalized Riemann-Liouville Fractional Derivative [PDF]
Axioms, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
R. Saxena, A. M. Mathai, H. Haubold
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A multiple Opial type inequality for the Riemann-Liouville fractional derivatives [PDF]
Journal of Mathematical Inequalities, 2013 The aim of this paper is to prove a multiple Opial type inequality for Riemann-Liouville fractional derivatives which is proved for two factors and ordinary derivatives by Fink. Two methods are applied and a comparison of the obtained estimations is also given.
Ivan Perić +2 more
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Analysis and Modeling of Fractional-Order Buck Converter Based on Riemann-Liouville Derivative
IEEE Access, 2019 In previous studies, researchers used the fractional definition of Caputo to study fractional-order power converter. However, it is found that the model based on Caputo fractional definition is inconsistent with the actual situation.
Zhihao Wei, Bo Zhang, Yanwei Jiang
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