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Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms.
Chapter 1. Introduction to Local Fractional Derivative and Local Fractional Integral Operators1.1. Definitions and Properties of Local Fractional Derivative 1.2 Definitions and Properties of Local Fractional Integral1.3 Local Fractional Partial Differential Equations in Mathematical Physics ReferencesChapter 2. Local Fractional Fourier Series 2.1. Definitions and Properties 2.2. Applications to Signal Analysis 2.3 Solving Local Fractional Differential Equations2.3.1. Applications of Local Fractional Ordinary Differential Equations 2.3.2. Applications of Local Fractional Partial Differential Equations References Chapter 3. Local Fractional Fourier Transform and Its Applications 3.1. Definitions and Properties 3.2. Applications to Signal Analysis 3.3 Solving Local Fractional Differential Equations3.3.1. Applications of Local Fractional Ordinary Differential Equations 3.3.2. Applications of Local Fractional Partial Differential Equations ReferencesChapter 4. Local Fractional Laplace Transform and Its Applications4.1. Definitions and Properties 4.2. Applications to Signal Analysis 4.3 Solving Local Fractional Differential Equations4.3.1. Applications of Local Fractional Ordinary Differential Equations 4.3.2 Applications of Local Fractional Partial Differential Equations References Chapter 5. Local Fractional Laplace Transform Method Coupled with Analytical Methods5.1. Variational Iteration Method of Local Fractional Operator 5.2. Decomposition Method of Local Fractional Operator 5.3. Coupling Laplace Transform with Variational Iteration Method of Local Fractional Operator5.4. Coupling Laplace Transform with Decomposition Method of Local Fractional OperatorReferences
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- ID: 9780128040027
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