Solution of Non-homogeneous Linear Fractional Differential Equations Involving Conformable Fractional Derivatives

Authors

  • A. K. Tyagi B. R. Ambedkar University, Agra-282004, Uttar Pradesh, India
  • J. Chandel Department of Mathematics, D.S. College, Aligarh, India

DOI:

https://doi.org/10.3329/jsr.v17i1.74055

Abstract

This paper presents a method for solving non-homogeneous linear sequential fractional differential equations (NHLSFDEs) with constant coefficients involving conformable fractional derivatives. For this purpose, the fundamental properties of the conformable derivative and fractional exponential functions are discussed. After this, we determined the particular integrals (PIs) of NHLSFDE in terms of fractional exponential functions, fractional cosine and sine functions. We have demonstrated this developed method with a few examples of NHLSFDEs.

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Published

2025-01-01

How to Cite

Tyagi, A. K., & Chandel, J. (2025). Solution of Non-homogeneous Linear Fractional Differential Equations Involving Conformable Fractional Derivatives. Journal of Scientific Research, 17(1), 115–127. https://doi.org/10.3329/jsr.v17i1.74055

Issue

Vol. 17 No. 1 (2025)

Section

Section A: Physical and Mathematical Sciences

License

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© Journal of Scientific Research

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