Coefficient Identification Problems in Fractional Wave Equations
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Overview
This book explores a range of direct and inverse problems associated with time-fractional and time-space (fully fractional) wave equations. In the context of direct problems, it addresses Cauchy problems and initial-boundary value problems. For inverse problems, the book examines both nonlinear inverse coefficient problems and linear inverse problems focused on determining coefficients on the right-hand sides of the equations. In the fractional wave equations, the fractional derivatives are expressed using various definitions, including the Riemann-Liouville, Caputo, Caputo-Dzhrbashyan, generalized Riemann-Liouville (Hilfer), conformable fractional derivatives, and Riesz operators. The book is intended for a broad audience of mathematicians specializing in fractional differential equations and the theory of inverse problems associated with them.
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Details
- ISBN-13: 9789819218349
- ISBN-10: 9819218349
- Publisher: Springer
- Publish Date: February 2027
- Page Count: 461
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