An alternative definition for the k-Riemann-Liouville fractional derivative [PDF]
Applied Mathematical Sciences, 2015 Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Cientificas y Tecnicas.
Gustavo A. Dorrego
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Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution [PDF]
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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Inequalities for Riemann–Liouville-Type Fractional Derivatives of Convex Lyapunov Functions and Applications to Stability Theory [PDF]
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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On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative [PDF]
Fractal and Fractional, 2022 The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved.
M. Kh. Ruziev, Р.Т. Зуннунов
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AIMS Mathematics, 2019 The fractional input stability of the electrical circuit equations described by the fractional derivative operators has been investigated. The Riemann-Liouville and the Caputo fractional derivative operators have been used.
Ndolane Sene
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Extended Riemann-Liouville fractional derivative operator and its applications [PDF]
, 2015 Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen +2 more
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A new Riemann–Liouville type fractional derivative operator and its application in generating functions [PDF]
Advances in Difference Equations, 2018 Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab +2 more
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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-
Haubold, H. J. +2 more
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On the fractional derivatives at extrema points [PDF]
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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Some New Gronwall-Bellman-Type Inequalities Based on the Modified Riemann-Liouville Fractional Derivative [PDF]
Journal of Applied Mathematics, 2013 By use of the properties of the modified Riemann-Liouville fractional derivative, some new Gronwall-Bellman-type inequalities are researched. First, we derive some new explicit bounds for the unknown functions lying in these inequalities, which are of ...
Bin Zheng
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