{
"item_title" : "Some Contributions to Special Functions Using Fractional Calculus",
"item_author" : [" Sanjay Chinchole "],
"item_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 Schr dinger equations through analytical derivations and MATLAB simulations.",
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Some Contributions to Special Functions Using Fractional Calculus
Overview
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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Details
- ISBN-13: 9786209497391
- ISBN-10: 620949739X
- Publisher: LAP Lambert Academic Publishing
- Publish Date: January 2026
- Dimensions: 9 x 6 x 0.28 inches
- Shipping Weight: 0.38 pounds
- Page Count: 120
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