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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Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives [PDF]
, 2021 Bashir Ahmad +3 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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Riesz potential and Riemann-Liouville fractional integrals and derivatives of Jacobi polynomials
Applied Mathematics Letters, 1997 The main result is given by the following theorem: ``If \(\alpha>-1\), \(\beta>-1 ...
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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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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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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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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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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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