Boundary Value Problems

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Boundary Value Problems

Advanced Fractional Dynamic Equations on Time Scales

Cybernetics and systems theory Mathematics Calculus and mathematical analysis Functional analysis and transforms Differential calculus and equations Applied mathematics

Author: Svetlin Georgiev

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Collection: Synthesis Lectures on Mathematics & Statistics

Language: English

Published by: Springer

Published on: 16th August 2023

Format: LCP-protected ePub

ISBN: 9783031382000


Book Overview

This book explores boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. The author provides an introduction to each fractional dynamic equation before delving into the problems. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions.

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