On a q-Analogue of the Elzaki Transform Called Mangontarum q-Transform. (13th October 2014)

• Record Type: Journal Article
• Authors: Mangontarum, Mahid M.
• Other Names: Sivasundaram Seenith Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2014(2014)
• Publication Date: 2014-10-13
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2014/825618
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : 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.