Fractional Inequalities In Banach Algebras [electronic resource] / by George A. Anastassiou.

Generalized Fractional Ostrowski and Gruss inequalities with multiple Banach algebra valued functions -- Iterated Generalized Fractional Ostrowski and Gruss inequalities with multiple Banach algebra valued functions -- Generalized Canavati Fractional Ostrowski, Opial and Gruss inequalities with multiple Banach algebra valued functions -- Generalized Canavati Fractional Hilbert-Pachpatte inequalities for Banach algebra valued functions -- Generalized Ostrowski, Opial and Hilbert-achpatte inequalities for Banach algebra valued functions involving integer vectorial derivatives.

This book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann–Schatten classes, the author produces the analogous refined and interesting inequalities. The author provides many applications. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications are in applied sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.