English

Solving Sequential Linear M fractional Differential Equations with Constants Coefficients

General Mathematics 2019-03-29 v1

Abstract

Fractional calculus is a powerful and effective tool for modelling nonlinear systems. The M derivative is the generalization of alternative fractional derivative. This M derivative obey the properties of integer calculus. In this paper, we present the method for solving M fractional sequential linear differential equations with constant coefficients for alpha is greater than or equal to 0 and beta is greater than 0. Existence and Uniqueness of the solutions for the nth order sequential linear M fractional differential equations are discussed in detail. We have present illustration for homogeneous and non homogeneous case.

Keywords

Cite

@article{arxiv.1903.11969,
  title  = {Solving Sequential Linear M fractional Differential Equations with Constants Coefficients},
  author = {V. Padmapriya and M. Kaliyappan},
  journal= {arXiv preprint arXiv:1903.11969},
  year   = {2019}
}

Comments

This article has 17 pages

R2 v1 2026-06-23T08:22:06.533Z