Boundary Value Problems and Applications for Mixed Type Loaded PDEs

Chapter 1: Analogs of the Tricomi and Gellerstedt Problems. Chapter 2: Boundary value problems for loaded integro-differential equations with hyperbolic and parabolic–hyperbolic operators. Chapter 3: Boundary value problems for a class of third-order loaded differential equations. Chapter 4: Boundary value problems for loaded equations of mixed type with variable coefficients.

Biography

Praveen Agarwal has been recognized among the World’s Top 2% Scientists (2020–2025) as released by Stanford University. In the 2026 global ranking by Research.com, he was placed 13th in India and 1102th worldwide in Mathematics. With over 25 years of experience in teaching and research, Dr. Agarwal’s primary research interests include Special Functions, Fractional Calculus, Numerical Analysis, Differential and Difference Equations, Inequalities, and Fixed-Point Theory. He is a prolific researcher, having authored or edited 15 books and published more than 450 research papers in reputed national and international journals, in collaboration with nearly 100 mathematicians worldwide. According to Google Scholar, his work has received over 12,700 citations with an h-index of 59, while Scopus reports over 8,343 citations with an h-index of 49. He has served on the editorial boards of more than 50 journals and has edited 15 books. He has delivered invited talks and keynote lectures at numerous international conferences and institutions worldwide. In summary, P. Agarwal is a distinguished mathematician, educator, and academic leader whose contributions to research, teaching, and institutional development are widely recognized.

Umida Baltaeva is a Chief Researcher at the Khorezm Mamun Academy, Regional Branch of the Uzbekistan Academy of Sciences, Khiva, Uzbekistan. Her research interests include partial differential equations, mixed-type equations, loaded differential and integro-differential equations, fractional calculus, and mathematical physics. She has published numerous research articles in international peer-reviewed journals and has actively contributed to the development of the theory of loaded differential equations and mixed-type partial differential equations. Her recent research focuses on boundary value problems for loaded equations of classical and nonclassical types, mixed-type partial differential equations, fractional differential equations, and higher-order differential and integro-differential equations.