Results 1 to 10 of about 346 (92)
A new fractional boundary value problem and Lyapunov-type inequality
Journal of Mathematical Inequalities, 2021 Throughout this paper, we study a new modified version of fractional boundary value problem (BVP) of the form (a D α y)(t)+ p(t)y′(t)+q(t)y(t) = 0, a < t < b, 2 < α 3, with y(a) = y′(a) = y(b) = 0 , where p ∈C1([a,b]) and q ∈C([a,b]) .
E. Pourhadi, M. Mursaleen
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WAVE PROPAGATION IN VISCOELASTIC HALF-SPACE WITH MEMORY FUNCTIONS OF MITTAG-LEFFLER TYPE
International Journal of Apllied Mathematics, 2021 The problem of one-dimensional non-stationary wave propagation in viscoelastic half space is studied. For the description of the hereditary properties of the viscoelastic medium, several examples of completely monotone relaxation kernels are considered ...
E. Bazhlekova, S. Pshenichnov
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SERIES IN LE ROY TYPE FUNCTIONS: INEQUALITIES AND CONVERGENCE THEOREMS
, 2021 In studying the behaviour of series defined by means of the Le Roy type functions, we prove Cauchy–Hadamard type theorems. Asymptotic formulae for these new special functions in the cases of ‘large’ values of indices are also provided, as necessary in ...
J. Paneva-Konovska
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A STUDY OF EXTENDED BETA, GAUSS AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
, 2020 In the present research note, we define a new extension of beta function by making use of the multi-index Mittag-Leffler function. Here, first we derive its fundamental properties and then we present a new type of beta distribution as an application of ...
M. Ghayasuddin, N. Khan, M. Ali
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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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Some properties of the Mittag-Leffler functions and their relation with the Wright functions
Advances in Differential Equations, 2012 This paper is a short description of our recent results on an important class of the so-called Mittag-Leffler functions, which became important as solutions of fractional order differential and integral equations, control systems and refined mathematical
M. Kurulay, M. Bayram
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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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A new equivalence of Stefan's problems for the Time-Fractional-Diffusion Equation [PDF]
, 2014 A fractional Stefan problem with a boundary convective condition is solved, where the fractional derivative of order $ \alpha \in (0,1) $ is taken in the Caputo sense.
Marcus, Eduardo Santillan +1 more
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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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