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|Title:||On the Ψ -fractional integral and applications|
|Author:||Sousa, J. Vanterler da C.|
Oliveira, E. Capelas de
|Abstract:||Motivated by the Ψ -Riemann–Liouville (Ψ - RL) fractional derivative and by the Ψ -Hilfer (Ψ - H) fractional derivative, we introduced a new fractional operator the so-called Ψ -fractional integral. We present some important results by means of theorems and in particular, that the Ψ -fractional integration operator is limited. In this sense, we discuss some examples, in particular, involving the Mittag–Leffler (M - L) function, of paramount importance in the solution of population growth problem, as approached. On the other hand, we realize a brief discussion on the uniqueness of nonlinear Ψ -fractional Volterra integral equation (VIE) using β-distance functions|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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