Fractional order calculus (FOC) deals with integrals and derivatives of arbitrary (i.e., non-integer) order, and shares its origins with classical integral and differential calculus. However, until ...

Abstract: The extensively studied partial differential equation (PDE) systems evolve on continuous time and continuous space, which restricts the investigation scope of PDE systems. A parabolic PDE ...

Separation of variables is a powerful method for solving differential equations, enabling the simplification of complex problems into more manageable parts. This video offers a clear and detailed ...

Abstract: The Laplace-Sumudu-Elzaki Transformation (LSET) represents a significant advancement in mathematical physics, offering versatile tools for solving differential equations and analyzing ...

THIS is a book written to supply the wants of students in advanced physics who require some knowledge of the calculus to enable them to read treatises on physical ...

THIS little book deserves hearty welcome from those who are engaged in leading forward students to the higher mathematics; not so much as a substitute for any other work at present in use, but as ...

Ask the publishers to restore access to 500,000+ books. Can You Chip In? We’re celebrating our 1 trillionth archived web page. If you find our library useful, learn how you can help us fundraise! Can ...

Correction & clarification: This article was updated to remove incorrect details about math courses and departments at the University of California, Santa Cruz. CAMBRIDGE, Mass. – Math professor ...

Fractional differential equations can model various complex problems in physics and engineering, but there is no universal method to solve fractional models precisely. This paper offers a new hope for ...

We usually think of Newton and Leibniz as the inventors of calculus, but neither of them—for all their great brilliance—could create that extraordinary mathematical description of the world around us ...