NEW GENERALIZATIONS IN THE SENSE OF THE WEIGHTED NON-SINGULAR FRACTIONAL INTEGRAL OPERATOR
Saima Rashid, Zakia Hammouch, Dumitru Bǎleanu, Yu‐Ming Chu
Abstract
In this paper, we propose a new fractional operator which is based on the weight function for Atangana–Baleanu [Formula: see text]-fractional operators. A motivating characteristic is the generalization of classical variants within the weighted [Formula: see text]-fractional integral. We aim to establish Minkowski and reverse Hölder inequalities by employing weighted [Formula: see text]-fractional integral. The consequences demonstrate that the obtained technique is well-organized and appropriate.
Topics & Concepts
MathematicsGeneralizationFractional calculusOperator (biology)Weight functionSingular integralPure mathematicsFunction (biology)Applied mathematicsMathematical analysisIntegral equationBiochemistryChemistryBiologyTranscription factorEvolutionary biologyGeneRepressorMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis