Year-end Sale % OFF 
Abstract
We discuss the solution of Laplace’s differential equation and a fractional differential equation of that type, by using analytic continuations of Riemann-Liouville fractional derivative and of Laplace transform. We show that the solutions, which are obtained by using operational calculus in the framework of distribution theory in our preceding papers, are obtained also by the present method.
Highlights
Yosida [1] [2] discussed the solution of Laplace’s differential equation, which is a linear differential equation, with coefficients which are linear functions of the variable
In recent papers [3] [4], we discussed the solution of that equation, and fractional differential equation of that type
We study the solution of a differential equation with the aid of Laplace transform
Summary
Yosida [1] [2] discussed the solution of Laplace’s differential equation, which is a linear differential equation, with coefficients which are linear functions of the variable. In [4], we adopted an analytic continuation of Riemann-Liouville fractional derivative, by which we could solve the differential equation assuming Condition 2. In this recipe, the solution is obtained only when a2 ≠ 0 and b2 = 0.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
