Abstract: We describe a rational approach to reduce the computational and communication complexities of lossless point-to-point compression for computation with side information. The traditional ...

Abstract: Fractional calculus is an important tool for analysis, including physics, biology and artificial intelligence. For some functions, alternative fractional definitions have been developed - ...

Fractional calculus extends the classical notions of differentiation and integration to non-integer orders, offering an adaptable framework that is particularly well suited to modelling anomalous ...

ABSTRACT: This paper discusses further the roughness of Riemann-Liouville fractional integral on an arbitrary fractal continuous functions that follows Rfs. [1]. A novel method is used to reach a ...

Department of Mathematics Education, Daegu National University of Education, Daegu, South Korea. Many essentially equivalent definitions of fractional calculus have been given in the literature (cf., ...

This book aims to provide an overview of the special functions of fractional calculus and their applications in diffusion and random search processes. The book contains detailed calculations for ...

This is a preview. Log in through your library . Abstract This paper establishes a fundamental decomposition theorem in multiattribute utility theory. The methodology uses fractional hypercubes to ...

Fractional order systems extend classical differential equation models by incorporating derivatives of non-integer order, thereby capturing memory effects and hereditary properties inherent in many ...

In this paper, we establish different variants of fractional Hermite-Hadamard inequalities for subadditive functions via Riemann-Liouville fractional integrals. Moreover, we offer some fractional ...

The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler ...