MARINA B MELAD
Articles written in Pramana – Journal of Physics
Volume 95 All articles Published: 28 October 2021 Article ID 0183 Research Article
This paper shows how to solve variable-order pantograph-delay differential equations (VO-PDDEs) and variable-order pantograph Volterra delay integro-differential equations (VO-VDIDEs) using shifted fractional Gegenbauer operational matrices (SFGOMs) of differentiation and integration in conjunction with the spectral collocation method. In these equations, the fractional derivatives of variable order are represented in the Caputo sense. As a result of the proposed method, the considered problems are translated into an easy-to-solve systemof algebraic equations. The proposed technique’s error bound is examined. To demonstrate the utility of the proposed method, numerical test problems are introduced and compared with other numerical methods in theexisting literature.
Volume 96, 2022
Continuous Article Publishing mode
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