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Solution set for fractional differential equations with Riemann-Liouville derivative
Fractional Calculus and Applied Analysis, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalco-Cano, Yurilev +3 more
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Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative [PDF]
, 2009 We propose a (new) definition of a fractional Laplace’s transform, or Laplace’s transform of fractional order, which applies to functions which are fractional differentiable but are not differentiable, in such a manner that they cannot be analyzed by ...
Jumarie, Guy
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On Generalized Composite Fractional Derivative
Walailak Journal of Science and Technology, 2014 In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite ...
Mridula GARG +3 more
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Cauchy’s integral formula via the modified Riemann–Liouville derivative for analytic functions of fractional order [PDF]
, 2010 The modified Riemann–Liouville fractional derivative applies to functions which are fractional differentiable but not differentiable, in such a manner that they cannot be analyzed by means of the Djrbashian fractional derivative. It provides a fractional
Jumarie, Guy, Guy Jumarie
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On the fractional derivatives at extrema points
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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A further extension of the extended Riemann–Liouville fractional derivative operator
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: The main objective of this 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. We also give some results related to the newly defined fractional operator, such as Mellin transform and relations ...
Martin BOHNER +3 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 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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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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General (k, p)-Riemann-Liouville fractional integrals [PDF]
The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function.
Budak, Hüseyin, Benaissa, Bouharket
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