This volume is a collection of research contributions highlighting recent advances in partial differential equations, inverse and boundary value problems, spectral analysis, and fractional calculus. The book reflects current trends in mathematical analysis and mathematical physics, explores the unique solvability of inverse problems for a wide range of differential equations, and demonstrates the growing importance of fractional and nonlocal operators in the modelling of complex phenomena. By showcasing the rich interplay between inverse problems, spectral methods, and fractional differential equations, this collection offers valuable insights into emerging directions of research and serves as a useful resource for researchers, graduate students, and specialists working in these fields. The volume aims to stimulate further research, collaboration, and innovation in these dynamic areas of modern mathematics.
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