Anomalous diffusion has been detected in a wide variety of scenarios, from fractal media, systems with memory, transport processes in porous media, to fluctuations of financial markets, tumour growth, and complex fluids. Providing a contemporary treatment of this process, this b…
"The book contains new research findings in fractional order analysis. Different tools and techniques from the field of fractional order analysis are found to be extremely helpful in practical applications because such analyses can help in developing mathematical methods or mode…
"The book contains new research findings in fractional order analysis. Different tools and techniques from the field of fractional order analysis are found to be extremely helpful in practical applications because such analyses can help in developing mathematical methods or mode…
"The book contains new research findings in fractional order analysis. Different tools and techniques from the field of fractional order analysis are found to be extremely helpful in practical applications because such analyses can help in developing mathematical methods or mode…
In this paper we present a generalization to two existing fractional integrals and derivatives, namely, the Riemann-Liouville and Hadamard fractional operators. The existence and uniqueness results for single term fractional differential equations (FDE) have also been establishe…
The author's purpose in this dissertation is to introduce, develop and apply the tools of discrete fractional calculus to the arena of fractional difference equations. To this end, we develop the Fractional Composition Rules and the Fractional Laplace Transform Method to solve a…
"This book focuses on the following research topics, namely: novel fractional-order chaotic systems, their synchronization schemes, their bifurcations, and their control along with their applications in engineering and computer science"
"This book focuses on the following research topics, namely: novel fractional-order chaotic systems, their synchronization schemes, their bifurcations, and their control along with their applications in engineering and computer science"--
In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and B…
"This book focuses on the following research topics, namely: novel fractional-order chaotic systems, their synchronization schemes, their bifurcations, and their control along with their applications in engineering and computer science"--
"This book focuses on the following research topics, namely: novel fractional-order chaotic systems, their synchronization schemes, their bifurcations, and their control along with their applications in engineering and computer science"--