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Some Contributions to Special Functions Using Fractional Calculus

By Sanjay Chinchole

Some Contributions to Special Functions Using Fractional Calculus

By Sanjay Chinchole

0 - Default Title
Description
For three centuries, special functions and fractional calculus remained theoretical mathematical domains, but they have recently gained significant traction in engineering, science, and economics. This thesis explores their fundamental synergy, introducing new fractional derivative definitions using a two-parameter Mittag-Leffler kernel and applying them to Fourier's law and falling body problems. Additionally, the research presents a novel integral transform and a new special function derived from the Sturm-Liouville Equation, demonstrating their applications in solving high-dimensional Laplace and Schrödinger equations through analytical derivations and MATLAB simulations.
Product details
Binding:
Paperback
Number of Pages:
120
Release Date:
2026-01-09
Publication Date:
2026-01-09
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
620949739X
ISBN13:
9786209497391
Weight:
197 g
Height:
150 cm
Width:
220 cm
Thickness:
8 cm
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