Abstract
Here the theory of local fractional differential equations is extended to a more general class of equations akin to usual exact differential equations. In the process, a new notion has been introduced which is termed as α-exact local fractional differential equation. The theory of such equations parallels that for the first order ordinary differential equations. A criterion to check the α-exactness emerges naturally and also a method to find general solutions of such equations. This development completes the basic theory of the local fractional differential equations. The solved examples demonstrate how complex functions arise as solutions which will be useful in understanding the processes taking place on fractals.
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.
