Work

On the Generalized (p,q)-ϕ-Calculus with Respect to Another Function

Year: 2024

Type: article

Abstract: In the present paper, we generalized some of the operators defined in (p,q)-calculus with respect to another function. More precisely, the generalized (p,q)-ϕ-derivatives and (p,q)-ϕ-integrals were introduced with respect to the strictly increasing function ϕ with the help of different orders of the q-shifting, p-shifting, and (q/p)-shifting operators. Then, after proving some related properties, and as an application, we considered a generalized (p,q)-ϕ-difference problem and studied the existence property for its unique solutions with the help of the Banach contraction mapping principle.

Source: Mathematics

DOI: 10.3390/math12203290

Authors: Sina Etemad, Ivanka Stamova, Sotiris K. Ntouyas, Jessada Tariboon

Institutions: Azarbaijan Shahid Madani University, The University of Texas at San Antonio, University of Ioannina, King Mongkut's University of Technology North Bangkok

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: King Mongkut's University of Technology North Bangkok