Results 11 to 20 of about 2,487 (168)
Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative [PDF]
Journal of Mathematics, 2021 In this paper, we present the necessary conditions where integral-type fractional equations with a proportional Riemann–Liouville derivative have a unique solution. Also, we give an example to illustrate our work.
Nabil Mlaiki
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Journal of Function Spaces, 2015 We discuss the approximate controllability of fractional evolution equations involving generalized Riemann-Liouville fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory, and the Schauder fixed point theorem under the assumption that the corresponding linear system is approximately ...
Mahmudov, N. I., McKibben, M. A.
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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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On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral
AxiomsIn this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties.
Yuri Luchko
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Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations [PDF]
, 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.
Hristova, Snezhana +5 more
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Fractional differential repetitive processes with Riemann–Liouville and Caputo derivatives [PDF]
Multidimensional Systems and Signal Processing, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dariusz Idczak, Rafal Kamocki
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Approximation with Riemann-Liouville fractional derivatives [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2019 n this article we study quantitatively with rates the pointwise convergence of a sequence of positive sublinear operators to the unit operator over continuous functions. This takes place under low order smothness,less than one, of the approximated function and it is expressed via the left and right Riemann-Liouville fractional derivatives of it.
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Degenerate Linear Evolution Equations with the Riemann–Liouville Fractional Derivative
Siberian Mathematical Journal, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fedorov, V. E. +2 more
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The Riemann–Liouville fractional derivative for Ambartsumian equation
Results in Physics, 2020 La ecuación de Ambartsumian, basada en la derivada fraccionaria modificada de Riemann–Liouville, se analiza en este trabajo. La solución se expresa como una serie de potencias de potencias arbitrarias y se ha comprobado su convergencia. Además, mostramos que la presente solución se reduce a los resultados en la literatura cuando la derivada ...
Essam R. El‐Zahar +4 more
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Fractional variational problems with the Riesz-Caputo derivative
, 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. +2 more
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