Certain new weighted estimates proposing generalized proportional fractional operator in another sense
Certain new weighted estimates proposing generalized proportional fractional operator in another sense
Abstract The present work investigates the applicability and effectiveness of generalized proportional fractional integral ( $\mathcal{GPFI}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>GPFI</mml:mi> </mml:math> ) operator in another sense. We aim to derive novel weighted generalizations involving a family of positive functions n ( $n\in \mathbb{N}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>n</mml:mi> <mml:mo>∈</mml:mo> <mml:mi>N</mml:mi> </mml:math> ) for …