Certain Hadamard Proportional Fractional Integral Inequalities
Copyright policy )Certain Hadamard Proportional Fractional Integral Inequalities
In this present paper we study the non-local Hadmard proportional integrals recently proposed by Rahman et al. (Advances in Difference Equations, (2019) 2019:454) which containing exponential functions in their kernels. Then we establish certain new weighted fractional integral inequalities involving a family of n ( n ∈ N ) positive functions by utilizing Hadamard proportional fractional integral operator. The inequalities presented in this paper are more general than the inequalities existing in the literature.
- China Medical University Taiwan
- Asian University Taiwan
- Prince Sultan University Saudi Arabia
- Shaheed Benazir Bhutto University, Sheringal Pakistan
- Prince Sattam Bin Abdulaziz University Saudi Arabia
hadamard proportional fractional integrals, Fractional Differential Equations, fractional integrals, Operator (biology), Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, fractional integral inequalities, Operator Inequalities, Fractional Integrals, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Integral equation, Applied Mathematics, Exponential function, Fractional calculus, Pure mathematics, Applied mathematics, Fractional Derivatives, Chemistry, Inequality, Modeling and Simulation, Physical Sciences, Repressor, Hermite-Hadamard Inequalities, Transcription factor, Mathematics
hadamard proportional fractional integrals, Fractional Differential Equations, fractional integrals, Operator (biology), Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Gene, fractional integral inequalities, Operator Inequalities, Fractional Integrals, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Hadamard transform, Integral equation, Applied Mathematics, Exponential function, Fractional calculus, Pure mathematics, Applied mathematics, Fractional Derivatives, Chemistry, Inequality, Modeling and Simulation, Physical Sciences, Repressor, Hermite-Hadamard Inequalities, Transcription factor, Mathematics
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