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In this study, the author provided a discussion on one dimensional Laplace and Fourier transforms with their applications. It is shown that the combined use of exponential operators and integral transforms provides a powerful tool to solve space fractional partial differential equation with non - constant coefficients. The object of the present article is to extend the application of the joint Fourier - Laplace transform to derive an analytical solution for a variety of time fractional non - homogeneous KdV. Numerous exercises and examples presented throughout the paper.
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참고문헌 (10)
참고문헌 신청
A. Aghili / 2019 / Special functions, integral transforms with applications / Tbilisi Mathematical Journal 12(1):33~44
A. Aghili / 2017 / Fractional Black–Scholes equation / International Journal of Financial Engineering 4(1):1750004
A.Apelblat / 2012 / Laplace transforms and their applications / Nova science publishers, Inc
G. Dattoli / 2003 / methods, fractional operators and special polynomials / Applied Mathematics and computations 141:151~159
G. Dattoli / 2007 / Operational methods and differ-ential equations to initial value problems / Applied Mathematics and computations 184:979~1001
A. Aghili / 2017 / Fractional Black–Scholes equation / International Journal of Financial Engineering 4(1):1750004
A.Apelblat / 2012 / Laplace transforms and their applications / Nova science publishers, Inc
G. Dattoli / 2003 / methods, fractional operators and special polynomials / Applied Mathematics and computations 141:151~159
G. Dattoli / 2007 / Operational methods and differ-ential equations to initial value problems / Applied Mathematics and computations 184:979~1001
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