The Mittag–Leffler Functions for a Class of First-Order Fractional Initial Value Problems: Dual Solution via Riemann–Liouville Fractional Derivative [PDF]
Fractal and Fractional, 2022 In this paper, a new approach is developed to solve a class of first-order fractional initial value problems. The present class is of practical interest in engineering science. The results are based on the Riemann–Liouville fractional derivative.
Abdelhalim Ebaid, Hind K. Al-Jeaid
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On the Approximate Controllability of Fractional Evolution Equations with Generalized Riemann-Liouville Fractional Derivative [PDF]
, 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 ...
Nazım I. Mahmudov, Mark A. McKibben
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Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems [PDF]
Symmetry, 2019 In this paper, we study and investigate an interesting Caputo fractional derivative and Riemann–Liouville integral boundary value problem (BVP): c D 0 + q u ( t ) = f ( t , u ( t ) ) , t ∈ [ 0 , T ] , u ( k ) ( 0 ) = ξ k , u ( T ) = ∑ i = 1 m β i R L I 0
Piyachat Borisut +3 more
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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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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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Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative [PDF]
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.
Mouffak Benchohra +2 more
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On Impulsive Boundary Value Problem with Riemann-Liouville Fractional Order Derivative [PDF]
Journal of Function Spaces, 2021 Our manuscript is devoted to investigating a class of impulsive boundary value problems under the concept of the Riemann-Liouville fractional order derivative. The subject problem is of implicit type. We develop some adequate conditions for the existence
Zareen A. Khan, Rozi Gul, Kamal Shah
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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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Three layers thermal protection system modeling by Riemann-Liouville fractional derivative. [PDF]
Sci RepBrociek R, Hetmaniok E, Słota D.
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