Operator Method to Solve Fractional Order Linear Differential Equations via Proportional $\alpha$ Derivative


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Authors

  • Ajay Dixit Department of Applied Sciences, KIET Group of Institutions, Ghaziabad, India
  • Amit Ujlayan School of Vocational Studies and Applied Sciences, Gautam Buddha University, Gr. Noida, India

Keywords:

Conformable fractional derivative, proportional $\alpha$ derivative, linear fractional differential equations

Abstract

In this study, we proposed an operator method for fractional order linear differential equations with constant coefficients. The form of fractional derivative, used in this article is proportional $\alpha$ derivative, introduced recently. Furthermore, to demonstrate the efficiency of the proposed operator method for fractional differential equations some numerical examples have discussed. One may verify the result for $\alpha=1$.

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Published

15-09-2019

How to Cite

Ajay Dixit, & Amit Ujlayan. (2019). Operator Method to Solve Fractional Order Linear Differential Equations via Proportional $\alpha$ Derivative. International Journal of Mathematics And Its Applications, 7(3), 29–35. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/226

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Section

Research Article