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Some basic principles of fractional calculus

Some basic principles of fractional calculus

Paperback

General Mathematics

ISBN10: 620974057X
ISBN13: 9786209740572
Publisher: Noor Publishing
Published: Apr 21 2026
Pages: 96
Weight: 0.31
Height: 0.23 Width: 6.00 Depth: 9.00
Language: English
In this book, we present an introduction to fractional calculus, including classical definitions of fractional derivatives and integrals such as Grünwald--Letnikov, Riemann--Liouville, and Caputo. We study linear and nonlinear fractional differential equations, focusing on existence and uniqueness results using Laplace transform and fixed point methods. We also introduce the conformable fractional derivative and discuss its applications, including analytical tools such as the fractional Wronskian and Abel-type formulas. This book provides a concise foundation for the study of fractional calculus and its applications.

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General Mathematics