GENERALIZED LAPLACE TRANSFORM AND TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE
نویسندگان
چکیده
In this paper, images of the tempered Ψ-Hilfer fractional integral and Ψ-Caputo derivative under generalized Laplace transform are derived. The results applied to find a solution an initial value problem for nonhomogeneous linear differential equation with order α n− 1 <α<n N. An illustrative example is given 0 <α<1 comparing solutions same but different tempering Ψ.
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ژورنال
عنوان ژورنال: Mathematical Modelling and Analysis
سال: 2023
ISSN: ['1648-3510', '1392-6292']
DOI: https://doi.org/10.3846/mma.2023.16370