Results 31 to 40 of about 346 (92)
A NEW APPROACH TO SOLVE THE FRACTIONAL HARRY DYM EQUATION USING THE FRDTM
, 2014 In this research article, a new approach based on the Fractional Reduced Differential Transform Method (FRDTM) employed to solve the nonlinear fractional Harry Dym equation.
M. Rawashdeh
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Journal of the Egyptian Mathematical Society, 2018 In this paper, we introduce some classes of meromorphic multivalent functions which are de ned by a newlinear operator containing the generalized Mittag-Leer function. Using convolution results obtained by Sarkar et al . [1](see also Mostafa and Aouf [2]
M. Aouf, T. Seoudy
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CERTAIN INTEGRAL TRANSFORMS OF THE GENERALIZED K-STRUVE FUNCTION
Acta Universitatis Apulensis, 2019 The aim of this paper is to the study of Struve type functions. Using k-Struve functions, we derive various integral transforms, including Euler transform, Laplace transform, Whittakar transform, K-transform and Fractional Fourier transform.
Hagos Tadesse +2 more
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Singularly perturbed Volterra integral equations with weakly singular kernels
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 3, Page 129-143, 2002., 2002 We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. To analyse this phenomenon, the
Angelina Bijura
wiley +1 more source
, 2018 In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
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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
doaj +1 more source
A Family of Hybrid Functions Generated by the Composition of Bessel and Mittag–Leffler Functions
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we employ a symbolic technique to introduce a new family of Mittag–Leffler–Bessel functions (MLBFs), formed by compositionally combining the classical Bessel functions of the first kind with the three‐parameter Mittag–Leffler function.
Maged G. Bin-Saad +2 more
wiley +1 more source
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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Inverse hyperbolic equation, Spectral technique, Regularization method, Operational matrix
Kuwait Journal of ScienceRecently, the realm related to Euler's Beta function has played a significant role in the development of special function theory. In this study, a new extension of the special function known as Euler's Beta function with respect to the Mittag-Leffler ...
Firas Ghanim +2 more
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On the Invalidity of Fourier Series Expansions of Fractional Order
, 2015 The purpose of this short paper is to show the invalidity of a Fourier series expansion of fractional order as derived by G. Jumarie in a series of papers.
Massopust, Peter, Zayed, Ahmed I.
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