Results 1 to 10 of about 27 (27)
Alexandria Engineering Journal, 2020 This paper is about the implementation of the pseudo-spectral method based on the Lagrange polynomials to the numerical study of the multi-term time-fractional differential equations.
Ali Shokri, Soheila Mirzaei
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Criteria of Existence for a q Fractional p-Laplacian Boundary Value Problem
Frontiers in Applied Mathematics and Statistics, 2020 This paper is devoted to establishing some criteria for the existence of non-trivial solutions for a class of fractional q-difference equations involving the p-Laplace operator, which is nowadays known as Lyapunov's inequality. The method employed for it
Lakhdar Ragoub +2 more
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Frontiers in Physics, 2020 The generalized fractional integrations of the generalized Mittag-Leffler type function (GMLTF) are established in this paper. The results derived in this paper generalize many results available in the literature and are capable of generating several ...
Kottakkaran Sooppy Nisar
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On fractional kinetic equations k-Struve functions based solutions
Alexandria Engineering Journal, 2018 In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar +2 more
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New results on the q-generalized Bernoulli polynomials of level m
Demonstratio Mathematica, 2019 This paper aims to show new algebraic properties from the q-generalized Bernoulli polynomials Bn[m-1](x;q)B_n^{[m - 1]}(x;q) of level m, as well as some others identities which connect this polynomial class with the q-generalized Bernoulli polynomials of
Urieles Alejandro +3 more
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On partial sums of normalized Mittag-Leffler functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 This article deals with the ratio of normalized Mittag-Leffler function Eα,β(z) and its sequence of partial sums (Eα,β)m(z). Several examples which illustrate the validity of our results are also given.
Răducanu Dorina
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Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
Arab Journal of Mathematical Sciences, 2019 In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
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On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for α ∈ (0, 1] and in case 2, we use the right Riemann ...
Alipour Mohsen, Baleanu Dumitru
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Fractional calculus containing certain bivariate Mittag-Leffler kernel with respect to function
Demonstratio MathematicaIn the present study, we introduce a general integral operator containing bivariate Mittag-Leffler (M-L) kernel with respect to a function τ(z)\tau \left(z).
Özarslan Mehmet Ali, Kürt Cemaliye
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A study of generalized Mittag-Leffler-type function of arbitrary order
Demonstratio MathematicaWe present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
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