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 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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Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives [PDF]
, 2021 Bashir Ahmad +3 more
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Further Extension of Extended Fractional Derivative Operator of Riemann-Liouville
, 2017 The main objective of this present paper is to establish the extension of an extended fractional derivative operator by using an extended beta function recently defined by Parmar et al. by considering the Bessel functions in its kernel. Also, we give some results related to the newly defined fractional operator such as Mellin transform and relations to
Rahman, Gauhar +2 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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Nonlinear analysis of a four-dimensional fractional hyper-chaotic system based on general Riemann–Liouville–Caputo fractal–fractional derivative [PDF]
, 2021 Yuhang Pan
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On approximate controllability for systems of fractional evolution hemivariational inequalities with Riemann-Liouville fractional derivatives [PDF]
, 2022 Lu-Chuan Ceng, S Cho
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Study on the variable coefficient space–time fractional Korteweg de Vries equation
Ain Shams Engineering Journal, 2018 In this paper, the fractional Riccati method is modified for solving nonlinear variable coefficients fractional differential equations involving modified Riemann–Liouville derivative.
Emad A-B. Abdel-Salam, Gamal F. Hassan
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Mathematical Description of the Groundwater Flow and that of the Impurity Spread, which Use Temporal Caputo or Riemann–Liouville Fractional Partial Derivatives, Is Non-Objective [PDF]
, 2020 Agneta M. Bálint, Štefan Bálint
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A New Approach for Solving Fractional Partial Differential Equations in the Sense of the Modified Riemann-Liouville Derivative [PDF]
, 2014 Bin Zheng, Qinghua Feng
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