Results 1 to 10 of about 2,012 (99)
q-Sumudu Transforms of q-Analogues of Bessel Functions [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed.
Faruk Uçar
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On (p,q)-Sumudu and (p,q)-Laplace Transforms of the Basic Analogue of Aleph-Function [PDF]
Symmetry, 2020 In this paper, we introduce the definitions of Sumudu and Laplace transforms of first and second kind in quantum calculus by using functions of several variables. On account of the general nature of the ( p , q ) -analogue of Aleph-function, a large number of new and known results for these transforms were obtained.
Altaf Ahmad Bhat +2 more
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On q-Sumudu transforms of certain q-polynomials [PDF]
Filomat, 2013 Although Sumudu transform is the theoritical dual of the Laplace transform, it has many applications in sciences and engineering for its special fundamental properties. In a previous paper (3), we studied q-analogues of the Sumudu transform and derived some fundamental properties.
D Albayrak, Faruk Uçar
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A new general integral transform for solving integral equations [PDF]
Journal of Advanced Research, 2021 Introduction: Integral transforms are important to solve real problems. Appropriate choice of integral transforms helps to convert differential equations as well as integral equations into terms of an algebraic equation that can be solved easily.During ...
Hossein Jafari
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On q-Analogues of Sumudu Transform [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 The present paper introduces q-analogues of the Sumudu transform and derives some distinct properties, for example its convergence conditions and certain interesting connection theorems involving q-Laplace transforms.
Albayrak Durmuş +2 more
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An application of q-Sumudu transform for fractional q-kinetic equation [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: The aim of this paper is to give an alternative solution for the \(q\)-kinetic equation involving the Riemann-Liouville fractional \(q\)-integral operator. The solution is obtained in terms of the \(q\)-Mittag-Leffler functions using inverse \(q\)-Sumudu transform. As applications, some corollaries are presented to illustrate the main results.
Purohit, Sunil Dutt, Uçar, Faruk
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Solution of Fractional Kinetic Equations Associated with the p,q-Mathieu-Type Series [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, our aim is to finding the solutions of the fractional kinetic equation related with the p,q-Mathieu-type series through the procedure of Sumudu and Laplace transforms.
D. L. Suthar +2 more
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Evaluating Complex Inverse Formulas for q-Sumudu Transforms
WSEAS TRANSACTIONS ON MATHEMATICS, 2023 In this paper, q-analogues of the Sumudu transform, along with an inversion formula and some explicit computations, are presented. This work essentially focuses on q-analogues of the inverse Sumudu transform and the construction method of the inversion formula via a path integral along a Bromwich contour.
Durmuş Albayrak +2 more
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The q-Sumudu transform and its certain properties in a generalized q-calculus theory [PDF]
Advances in Difference Equations, 2021 AbstractIn this paper we consider a generalization to the q-calculus theory in the space of q-integrable functions. We introduce q-delta sequences and develop q-convolution products to derive certain q-convolution theorem. By using the concept of q-delta sequences, we establish various axioms and set up q-spaces of generalized functions named q ...
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Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]
Sahand Communications in Mathematical AnalysisIn this study, the $q$-calculus is employed to introduce a novel generalization of the Mittag-Leffler function. In the following, we investigate a novel $q$-exponential function with five parameters, resulting in the generalized $q$-Mittag-Leffler ...
Mulugeta Dawud Ali +2 more
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