The present book entitled Calculus of Arbitrary Order and Its Applications in Sciences and Engineering deals with the Laplace Transform, Reimann Livioulle Integral and Derivatives, Fractional Calculus and their applications in science and engineering. An introduction to the Fractional Calculus with an excellent balance between theory and technique. Fractional Integration is treated before Fractional Differentiation, this is rarely found in most modern texts, but it is historically correct, and it is the best way to establish the true connection between the Fractional Integration and the Fractional Differentiation. Proof of all the imperative theorems are given, in a general way preceded by analysis or intuitive discussion. This volume introduces the more special functions, their relations and theorems via F. C. operators and their applications in this book, incorporates a treatment of F. C. and contains many new and easier methodologies. ukryj opis