Titlebook: An Introduction to Fractional Differential Equations; K. Balachandran Textbook 2023 The Editor(s) (if applicable) and The Author(s), under

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Fractional Calculus,After introducing the concept of fractional integral we define the Riemann–Liouville fractional integrals, Riemann–Liouville fractional derivatives, and Caputo fractional derivatives. Some elementary properties are proved and few examples are added. In the end a set of exercises is included.

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An Introduction to Fractional Differential Equations978-981-99-6080-4Series ISSN 2364-6837 Series E-ISSN 2364-6845

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Die Auswahl der Betriebsbest?ndection, Wright function, and Mittag-Leffler matrix function are introduced. The Laplace transform, inverse Laplace transform, and some basic fixed point theorems and function spaces are given. Finally, a set of exercises is provided.

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Die Grundlagen der finanziellen Wirthschaft that there are many types of fractional integrals and derivatives currently under investigation by several researchers some with theory and others with applications. A brief comment about few fractional derivatives is given. Several examples and exercises are constructed to understand different definitions.

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K. BalachandranGives precise definitions of basic concepts in fractional calculus.Discusses applications of fractional differential equations in control theory.Includes a large number of interesting examples to illu

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