Results 11 to 20 of about 21,294 (235)
Demonstratio Mathematica, 2019 In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem.
M. Benchohra, S. Bouriah, J. Nieto
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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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Stability analysis of fractional differential system with Riemann–Liouville derivative
Mathematical and Computer Modelling, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qian, Deliang +3 more
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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, 2023 In recent years, various qualitative investigations of the properties of differential equations with different types of generalizations of Riemann–Liouville fractional derivatives were studied and stability properties were investigated, usually using ...
Ravi P. Agarwal +2 more
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Journal of Function Spaces, 2022 Fractional derivatives are used to model the transmission of many real world problems like COVID-19. It is always hard to find analytical solutions for such models. Thus, approximate solutions are of interest in many interesting applications.
El-sayed El-hady +3 more
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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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Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations
Fractal and Fractional, 2021 A system of nonlinear fractional differential equations with the Riemann–Liouville fractional derivative is considered. Lipschitz stability in time for the studied equations is defined and studied.
Snezhana Hristova +2 more
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Fractal and Fractional, 2023 This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative [PDF]
Abstract and Applied Analysis, 2013 By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials. Also, we derive fractional differential equation of generalized extended Jacobi functions.
Bayram Çekim, Esra Erkuş-Duman
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