Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
Advances in Difference Equations, 2019 This paper is concerned with the semilinear fractional integrodifferential system with Riemann–Liouville fractional derivative. Firstly, we introduce the suitable C1−α $C_{1-\alpha }$-solution to Riemann–Liouville fractional integrodifferential equations
Shaochun Ji, Dandan Yang
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Monotone iterative solutions for a coupled system of p-Laplacian differential equations involving the Riemann–Liouville fractional derivative [PDF]
, 2021 Bo Bi, Ying He
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On the Approximate Controllability of Fractional Evolution Equations with Generalized Riemann-Liouville Fractional Derivative [PDF]
, 2015 Nazım I. Mahmudov, Mark A. McKibben
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On the fractional derivatives at extrema points
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema points.
Mohammed Al-Refai
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Riemann-Liouville derivative over the space of integrable distributions
, 2020 In this paper, we generalize the Riemann-Liouville differential and integral operators on the space of Henstock-Kurzweil integrable distributions, $D_{HK}$. We obtain new fundamental properties of the fractional derivative and integral, a general version of the fundamental theorem of fractional calculus, semigroup property for the Riemann-Liouville ...
Morales, María Guadalupe +2 more
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An Explicit Numerical Method for the Fractional Cable Equation
International Journal of Differential Equations, 2011 An explicit numerical method to solve a fractional cable equation which involves two temporal Riemann-Liouville derivatives is studied. The numerical difference scheme is obtained by approximating the first-order derivative by a forward difference ...
J. Quintana-Murillo, S. B. Yuste
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The Mittag–Leffler Functions for a Class of First-Order Fractional Initial Value Problems: Dual Solution via Riemann–Liouville Fractional Derivative [PDF]
, 2022 Abdelhalim Ebaid, Hind K. Al-Jeaid
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Fractional Differential Equations with the General Fractional Derivatives of Arbitrary Order in the Riemann–Liouville Sense [PDF]
, 2022 Yuri Luchko
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