TY - CHAP
A1 - Zoubir Dahmani
A2 - Meriem Mansouria Belhamiti
ED1 - Kamal Shah
ED2 - Baver Okutmuştur
Y1 - 2020-06-17
PY - 2020
T1 - Integral Inequalities and Differential Equations via Fractional Calculus
N2 - 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.
BT - Functional Calculus
SP - Ch. 10
UR - https://doi.org/10.5772/intechopen.91140
DO - 10.5772/intechopen.91140
SN - 978-1-83880-008-6
PB - IntechOpen
CY - Rijeka
Y2 - 2021-07-26
ER -