Meet the editors

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.

Dr. Baver Okutmuştur is an assistant professor at the Department of Mathematics, Middle East Technical University, Ankara, Turkey. He received his PhD degree in Mathematics from Université Pierre et Marie Curie-UPMC (Paris 6). He has published several articles based on finite volume techniques for hyperbolic conservation laws on manifolds. Moreover, he has studied various relativistic models and their numerical analysis on different

space/time geometries.

Contents

Generalizations *by Ivan I. Kyrchei*

*by Ioan R. Ciric*

*by Mohammed Abu Saleem*

*by Baver Okutmuştur*

*by Fethi Soltani*

*by Shi Jie*

**Preface XI**

**Chapter 1 1**

**Chapter 2 21**

**Chapter 3 37**

**Chapter 4 51**

**Chapter 5 61**

**Chapter 6 79**

**Chapter 7 91**

**Chapter 8 105**

**Chapter 9 127**

Determinantal Representations of the Core Inverse and Its

Solution of Linear Systems of Algebraic Equations

A Survey on Hilbert Spaces and Reproducing Kernels

Spectral Observations of PM10 Fluctuations in the Hilbert Space

Optimal Control of Evolution Differential Inclusions with Polynomial

Spectral Analysis and Numerical Investigation of a Flexible Structure

Analytical Applications on Some Hilbert Spaces

*by Thomas Plocoste and Rudy Calif*

Linear Differential Operators *by Elimhan N. Mahmudov*

with Nonconservative Boundary Data *by Marianna A. Shubov and Laszlo P. Kindrat*

New Matrix Series Formulae for Matrix Exponentials and for the

Fixed Point Theorems of a New Generalized Nonexpansive Mapping

Folding on the Chaotic Graph Operations and Their Fundamental Group
