Shahid Mubeen, G. M. Habibullah
Abstract
The purpose of this paper is to introduce a variant of fractional integrals to be called k -fractional integral which is based on k -gamma function. When 1 k→ , it turns out to be the usual Riemann-Liouville fractional integral. Use of k -fractional integrals is also illustrated.
OpenAlex reports 193 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The purpose of this paper is to introduce a variant of fractional integrals to be called k -fractional integral which is based on k -gamma function. When 1 k→ , it turns out to be the usual Riemann-Liouville fractional integral. Use of k -fractional integrals is also illustrated.
Key concepts: Fractional calculus, Mathematics, Volume integral, Riemann integral, Line integral, Mathematical analysis, Order of integration (calculus), Applied mathematics