International Journal of Nonlinear Analysis and Applications

On generalized fractional inequalities for functions of bounded variation with two variables

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

2 Department of Mathematics, Faculty of Technical Science, University Ismail Qemali, Vlora, Albania

3 School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China

Abstract

n this paper, we firstly obtain some identities via generalized fractional integrals which generalize some important fractional integrals such as the Riemann-Liouville fractional integrals, the Hadamard fractional integrals, etc. Then by utilizing these equalities we establish some Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. Moreover, we give some inequalities involving Hadamard fractional integrals as special cases of our main results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 1165-1182
  • Receive Date: 12 January 2022
  • Revise Date: 15 March 2022
  • Accept Date: 20 March 2022