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article · DergiPark (Istanbul University)

GENERALIZED SOLUTIONS FOR TIME $\psi$-FRACTIONAL WAVE EQUATION

Abstract

This paper focuses on the fractional wave problem with the use of a new fractional derivative in Colombeau algebra. Using Banach's fixed point theorem and Laplace transforms, we give and prove the integral solution of the problem. In Colombeau's algebra, the existence and uniqueness of the solution are demonstrated using the Gronwall lemma.

Research topics

  • Mathematical and Theoretical Analysis
  • Fractional Differential Equations Solutions
  • Functional Equations Stability Results

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