Results 101 to 110 of about 3,290 (179)
, 2014 This paper deals with the investigation of the computational solutions of a 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 ...
Hans J. Haubold +5 more
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On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations
MathematicsIn applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important.
Yasar Bolat +2 more
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On nonlocal problem with fractional Riemann-Liouville derivatives for a mixed-type equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 The unique solvability is investigated for the problem of equation with partial fractional derivative of Riemann-Liouville and boundary condition that contains the generalized operator of fractional integro-differentiation. The uniqueness theorem for the
Anna V Tarasenko, Irina P Egorova
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On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral.
Yuri Luchko
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, 2013 In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM).
M Merdan
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Mathematics, 2019 The semigroup properties of the Riemann–Liouville fractional integral have played a key role in dealing with the existence of solutions to differential equations of fractional order.
Shuqin Zhang, Lei Hu
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Some applications of the multi-dimensional fractional order for the Riemann-Liouville derivative [PDF]
, 2016 In this paper, the aim of this work is to study theorem for the one-dimensional space-time fractional deriative, generalize some function for the one-dimensional fractional by table represents the fractional Laplace transforms of some elementary ...
Ahmood, Wasan Ajeel +3 more
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Abstract and Applied Analysis, 2014 The notion of uncertainty in groundwater hydrology is of great importance as it is known to result in misleading output when neglected or not properly accounted for. In this paper we examine this effect in groundwater flow models.
Abdon Atangana, S. C. Oukouomi Noutchie
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Generalized Extended Riemann-Liouville type fractional derivative operator
, 2019 In this paper, we aim to 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 [4].
Abbas, Hafida +3 more
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Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term
Abstract and Applied Analysis, 2013 Two numerical algorithms are derived to compute the fractional diffusion-wave equation with a reaction term. Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we ...
Hengfei Ding, Changpin Li
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