On the derivative chain-rules in fractional calculus via fractional difference and their application to systems modelling

On the fractional calculus in abstract s

On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order

✍ Hussein A.H. Salem 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 923 KB

In the following pages, based on the linear functional over a Banach space E and on the definition of fractional integrals of real-valued functions, we define the fractional Pettisintegrals of E-valued functions and the corresponding fractional derivatives. Also, we show that the well-known properti