Kamal Shah

University of Malakand

Dr. Kamal Shah is an associate professor in applied mathematics at the Department of Mathematics, University of Malakand, Khyber Pakhtankhwa, Pakistan. He was born on March 1, 1983 in Deolai, a large town in the beautiful valley of Swat in Khyber Pakhtankhwa, Pakistan. He has served at the University of Malakand since 2007. He received his PhD degree in Applied Mathematics from the University of Malakand in 2016. Before joining the University of Malakand he was a lecturer in mathematics at the Government Degree College, Mingora, Swat. In November 2006, he joined Government Degree College, Kabal, Swat, and taught there until 2007. Dr. Kamal Shah has published more than 100 articles related to the qualitative theory of fractional differential equations, numerical solutions, and stability analysis in world-reputed journals. He is also involved in fixed point theory and mathematical modeling of infectious diseases. Recently, he has been working on fuzzy integral, differential, and integro-differential equations and their existence theory, and numerical/approximate solutions of fractional as well as integer orders.

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Latest work with IntechOpen by Kamal Shah

The aim of this book is to present a broad overview of the theory and applications related to functional calculus. The book is based on two main subject areas: matrix calculus and applications of Hilbert spaces. Determinantal representations of the core inverse and its generalizations, new series formulas for matrix exponential series, results on fixed point theory, and chaotic graph operations and their fundamental group are contained under the umbrella of matrix calculus. In addition, numerical analysis of boundary value problems of fractional differential equations are also considered here. In addition, reproducing kernel Hilbert spaces, spectral theory as an application of Hilbert spaces, and an analysis of PM10 fluctuations and optimal control are all contained in the applications of Hilbert spaces. The concept of this book covers topics that will be of interest not only for students but also for researchers and professors in this field of mathematics. The authors of each chapter convey a strong emphasis on theoretical foundations in this book.

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