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

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Budak H., Ozcelik K., Kashuri A., Ali M. A., Zhang Z.

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, no.2, pp.1165-1182, 2022 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2022
• Doi Number: 10.22075/ijnaa.2022.25891.3152
• Journal Name: INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.1165-1182
• Kocaeli University Affiliated: No

Abstract

In 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.