New estimates considering the generalized proportional Hadamard fractional integral operators
Shuang-Shuang Zhou, Saima Rashid, Fahd Jarad, Humaira Kalsoom, Yu‐Ming Chu
Abstract
Abstract In the article, we describe the Grüss type inequality, provide some related inequalities by use of suitable fractional integral operators, address several variants by utilizing the generalized proportional Hadamard fractional (GPHF) integral operator. It is pointed out that our introduced new integral operators with nonlocal kernel have diversified applications. Our obtained results show the computed outcomes for an exceptional choice to the GPHF integral operator with parameter and the proportionality index. Additionally, we illustrate two examples that can numerically approximate these operators.
Topics & Concepts
MathematicsHadamard transformOperator (biology)Fourier integral operatorKernel (algebra)Integral equationApplied mathematicsFractional calculusIntegral transformMathematical analysisPure mathematicsTranscription factorChemistryGeneRepressorBiochemistryMathematical Inequalities and ApplicationsFractional Differential Equations SolutionsNonlinear Differential Equations Analysis