Results 11 to 20 of about 2,558 (225)
Cauchy problem for the equations with fractional of Riemann-Liouville derivatives
Doklady of the National Academy of Sciences of Belarus, 2020 Summary: In this article, we study the question of the solvability of an analogue of the Cauchy problem for ordinary differential equations with fractional Riemann-Liouville derivatives on the unbounded right-hand side in certain function spaces. The solvability conditions of the problem under consideration in given function spaces, as well as the ...
P. P. Zabreiko +1 more
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Fractional Ince equation with a Riemann–Liouville fractional derivative
Applied Mathematics and Computation, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alfredo Parra-Hinojosa +1 more
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On Conformable, Riemann-Liouville, and Caputo fractional derivatives
Bulletin of Applied Mathematics and Mathematics Education, 2022 This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations of the solutions.
Bambang Hendriya Guswanto +2 more
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On Riemann‐Liouville and Caputo Derivatives [PDF]
Discrete Dynamics in Nature and Society, 2011 Recently, many models are formulated in terms of fractional derivatives, such as in control processing, viscoelasticity, signal processing, and anomalous diffusion. In the present paper, we further study the important properties of the Riemann‐Liouville (RL) derivative, one of mostly used fractional derivatives.
Changpin Li, Deliang Qian, YangQuan Chen
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Determination of coefficients of high-order schemes for Riemann-Liouville derivative. [PDF]
ScientificWorldJournal, 2014 Although there have existed some numerical algorithms for the fractional differential equations, developing high-order methods (i.e., with convergence order greater than or equal to 2) is just the beginning. Lubich has ever proposed the high-order schemes when he studied the fractional linear multistep methods, where he constructed thepth order schemes(
Wu R, Ding H, Li C.
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Fractional Noether's theorem with classical and Riemann-Liouville derivatives [PDF]
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012 This is a preprint of a paper whose final and definite form will be published in: 51st IEEE Conference on Decision and Control, December 10-13, 2012, Maui, Hawaii, USA. Article Source/Identifier: PLZ-CDC12.1832.45c07804. Submitted 08-March-2012; accepted 17-July-2012.
Gastão S. F. Frederico +1 more
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EQUIVALENCE OF INITIALIZED RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES
Journal of Applied Analysis & Computation, 2020 Summary: Initialization of fractional differential equations remains an ongoing problem. The initialization function approach and the infinite state approach provide two effective ways of dealing with this issue. The purpose of this paper is to prove the equivalence of the initialized Riemann-Liouville derivative and the initialized Caputo derivative ...
Yuan, Jian +3 more
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An alternative definition for the k-Riemann-Liouville fractional derivative [PDF]
Applied Mathematical Sciences, 2015 El objetivo de este trabajo es introducir una definición alternativa para la derivada fraccionaria k-Riemann-Liouville dada en [6] y cuya ventaja es que es la inversa izquierda del correspondiente operador integral fraccionario k-Riemann-Liouville introducido por [5] .Se discuten sus propiedades básicas, se calcula su transformada de Laplace, la ...
Gustavo A. Dorrego
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Fractional Sobolev Spaces via Riemann-Liouville Derivatives [PDF]
Journal of Function Spaces and Applications, 2013 Using Riemann-Liouville derivatives, we introduce fractional Sobolev spaces, characterize them, define weak fractional derivatives, and show that they coincide with the Riemann-Liouville ones. Next, we prove equivalence of some norms in the introduced spaces and derive their completeness, reflexivity, separability, and compactness of some imbeddings ...
Dariusz Idczak, Stanisław Walczak
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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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