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Some Contributions to Special Functions Using Fractional Calculus

by Sanjay Chinchole
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Current price ₹5,878.00
Original price ₹6,702.00
Original price ₹6,702.00
Original price ₹6,702.00
(-12%)
₹5,878.00
Current price ₹5,878.00

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Book cover type: Paperback
  • ISBN13: 9786209497391
  • Binding: Paperback
  • Subject: N/A
  • Publisher: LAP Lambert Academic Publishing
  • Publisher Imprint: LAP Lambert Academic Publishing
  • Publication Date:
  • Pages: 120
  • Original Price: GBP 52.98
  • Language: English
  • Edition: N/A
  • Item Weight: 173 grams
  • BISAC Subject(s): General

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 Schr�dinger equations through analytical derivations and MATLAB simulations.

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