Analytical Solution of Linear Fractional Systems with Variable Coefficients Involving Riemann–Liouville and Caputo Derivatives [PDF]
, 2019 Ivan Matychyn
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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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An analog of the Tricomi problem for a mixed type equation with Riemann-Liouville fractional derivative [PDF]
, 2023 Akmaljon Okboev Bakhromjonovich
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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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On coupled impulsive fractional integro-differential equations with Riemann-Liouville derivatives
, 2020 Xiaoming Wang, Mehboob Alam, Akbar Zada
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Fractional Brownian motions ruled by nonlinear equations
, 2018 In this note we consider generalized diffusion equations in which the diffusivity coefficient is not necessarily constant in time, but instead it solves a nonlinear fractional differential equation involving fractional Riemann-Liouville time-derivative ...
Garra, Roberto +2 more
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On q-fractional derivatives of Riemann--Liouville and Caputo type
, 2009 Based on the fractional $q$-integral with the parametric lower limit of integration, we define fractional $q$-derivative of Riemann-Liouville and Caputo type. The properties are studied separately as well as relations between them. Also, we discuss properties of compositions of these operators.
Stankovic, Miomir S. +2 more
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Monotone iterative technique for periodic problem involving Riemann–Liouville fractional derivatives in Banach spaces [PDF]
, 2018 Yonghong Ding, Yongxiang Li
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Incomplete Riemann-Liouville fractional derivative operators and incomplete hypergeometric functions [PDF]
, 2019 Mehmet Ali Özarslan, Ceren Ustaoğlu
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