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‘If you wish to forsee the future of mathematics our proper course is to study the history and present condition of the science.’ Henri Poincaré ‘… the emphasis should be given more on how to do mathematics quickly and easily, and what formulas are true, rather than the mathematicians' interest in methods of rigorous proof.’ Richard P. Feynman This paper deals with a brief historical introduction to fractional calculus with basic ideas, definitions and results of fractional order integration and differentiation of arbitrary order.
Lokenath Debnath (Thu,) studied this question.