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Fractional Calculus and its Applications
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Topic outline
General
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Annonces
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Questions and Answers for Chapter 1: Special Functions
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Questions and Answers for Chapter 2: Elements of fractional calculus
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Questions and Answers for Chapter 3: Fractional differential equations
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Questions and Answers for Chapter 4: Existence and uniqueness of the solution for FDE
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Course Syllabus
Course Syllabus
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Table of contents
Table of contents
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Initial Section : Introduction
Introduction
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Chapter 1 : Special functions
Gamma function
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Beta function
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Mittag-Leffler function
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Chapter 2 : Elements of fractional calculus
Riemann-Liouville fractional integral
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Fractional derivatives of Riemann-Liouville
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Fractional derivatives of Caputo
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Fractional derivatives of Grünwald-Letnikov
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Properties of fractional operators
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Chapter 3 : Fractional differential equations
Fractional differential equation of the Riemann-Liouville type
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Fractional differential equation of the Caputo type
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Chapter 4 : Existence and uniqueness of the solution for FDEs
Some fixed point theorems
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Cauchy problem of fractional differential equation
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Boundary problem of fractional differential equation
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Final Section : Conclusion
Conclusion
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Bibliography
Bibliography
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Glossary
1) Glossary of Mathematical terms
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2) Glossary of Mathematics abbreviations
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Test of the end of course
Test of the end of course
Quiz
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Videos : Fractional Calculus
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Links : Fractional Calculus and applications
Link Web of Science
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Link ResearchGate
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Link Google Scholar
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