On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform
Two q-analogues of the Elzaki transform, called Mangontarum q-transforms, are introduced in this paper. Properties such as the transforms of q-trigonometric functions, transform of q-derivatives, duality relation, convolution identity, q-derivative of transforms, and transform of the Heaviside funct...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/825618 |
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| author | Mahid M. Mangontarum |
| author_facet | Mahid M. Mangontarum |
| author_sort | Mahid M. Mangontarum |
| collection | DOAJ |
| description | Two q-analogues of the Elzaki transform, called Mangontarum q-transforms, are introduced in this paper. Properties such as the transforms of q-trigonometric functions, transform of q-derivatives, duality relation, convolution identity, q-derivative of transforms, and transform of the Heaviside function are derived and presented. Moreover, we will consider applications of the Mangontarum q-transform of the first kind to some ordinary q-differential equations with initial values. |
| format | Article |
| id | doaj-art-41d093b531f641baab8da08122f011ce |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-41d093b531f641baab8da08122f011ce2025-08-20T03:55:40ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/825618825618On a q-Analogue of the Elzaki Transform Called Mangontarum q-TransformMahid M. Mangontarum0Department of Mathematics, Mindanao State University, Main Campus, 9700 Marawi City, PhilippinesTwo q-analogues of the Elzaki transform, called Mangontarum q-transforms, are introduced in this paper. Properties such as the transforms of q-trigonometric functions, transform of q-derivatives, duality relation, convolution identity, q-derivative of transforms, and transform of the Heaviside function are derived and presented. Moreover, we will consider applications of the Mangontarum q-transform of the first kind to some ordinary q-differential equations with initial values.http://dx.doi.org/10.1155/2014/825618 |
| spellingShingle | Mahid M. Mangontarum On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform Discrete Dynamics in Nature and Society |
| title | On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform |
| title_full | On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform |
| title_fullStr | On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform |
| title_full_unstemmed | On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform |
| title_short | On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform |
| title_sort | on a q analogue of the elzaki transform called mangontarum q transform |
| url | http://dx.doi.org/10.1155/2014/825618 |
| work_keys_str_mv | AT mahidmmangontarum onaqanalogueoftheelzakitransformcalledmangontarumqtransform |