Regardless of the types of fractional-order derivatives, Fractional Differential Equations (FDEs) have been recently applied in modeling various phenomena in natural sciences and engineering. From the scientific literature of fractional-order derivatives or fractional calculus, there were historically known as integer-order calculus but not much interest among mathematicians at that time to discover the advantages of research studies on fractional calculus. My question is according to my knowledge why there is no courses in the area of fractional differential equations (FDEs) exist at any university or college. A course on this field of research will be very beneficial for graduate students who interested in doing further studies on fractional derivatives. Please share your thoughts if you aware of any courses exist in this area of research and could you please share the links to the course so every researcher can benefit from that. I would greatly appreciate all your comments and discussion regarding this important question!!
FDE / PDE / FC / PC these are all very important to be taught in university syllabus .
The subject of fractional calculus is still the subject of research and exploration, in the sense that his secrets have not yet been discovered so that it becomes the subject of teaching in the Bachelor. However, at a master's degree and at some universities, fractional calculus is an optional subject for students to be able to research when they join a doctorate. Unfortunately there are several definitions of fractional differentiation and integration. Each definition has its pros and cons. As well as applications, especially in the field of solving differential equations. Although fractional calculus is an old gadget since the 17th century, it is still a new and fertile field for scientific research.
Thank you very much Dr. Maged Gumaan Bin-Saad for your very helpful answer!!
As more research is done and definitions clarified, it is only a matter of time before it is offered at least as an elective especially in schools of engineering.
FDE / PDE / FC / PC these are all very important to be taught in university syllabus .
Great news!! Thanks Dr. Srini Vasan !! I am looking forward to hearing this course offered as elective course!!
The applications, as you highlighted, are quite recent.
Hence the scarcity of courses in this branch of mathematics.
Furthermore, the topic requires knowledge well above the basics of mathematical analysis; therefore, every student / scholar of the subject can easily "do it for himself".
In fact, the fundamentals of fractional calculus are not present in virtually any university curriculum. Probably, one of the reasons is its relative recent irruption in the scientific field and fundamentally at the level of research. In a few years, several formulations of the fractional derivatives have been proposed and the fractional version of the elements and the fundamental results of the different fields of mathematical analysis are being developed. And when it comes to applications, the research papers that collect them are even more recent. It is for all this, that it is at the doctoral level when students receive instruction in fractional calculus, of course, if there is any research group working in this line. But I believe that, given the growing number of researchers who focus on this topic and apply their results in other fields of science or technology, not in a long time the fractional calculus will not only be present at the research level, but will also be a subject of the university curriculum.
Thank you Dr. Francisco Martínez González for your great answer!! I am looking forward to seeing this course offered by a university in the future!!
This question is very important in development of fractional differential equations(FDEs).
For the first step. I think there is no many type of FDEs book for bachelor students. So researchers must provide a book for bachelor level.
That's totally true!! Thanks Mr. Peyman Bolghar for your answer!! We definitely need this course to be offered at least as an elective course.
Universities board members need to discuss the syllabus implementation for the course of fractional calculus in board meetings or otherwise, the subject of fractional calculus, cannot be implemented in any colleges and universities. I agree with the professor with valuable comments Francisco Martínez González .
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