On Solvability of Fractional ( p, q )-Difference Equations with ( p, q )-Difference Anti-Periodic Boundary Conditions

Ravi P. Agarwal, Hana Al-Hutami and Bashir Ahmad ()
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Ravi P. Agarwal: Department of Mathematics, Texas A& M University, Kingsville, TX 78363-8202, USA
Hana Al-Hutami: Nonlinear Analysis and Applied Mathematics (NAAM)—Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Bashir Ahmad: Nonlinear Analysis and Applied Mathematics (NAAM)—Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Mathematics, 2022, vol. 10, issue 23, 1-14

Abstract: We discuss the solvability of a ( p , q ) -difference equation of fractional order α ∈ ( 1 , 2 ] , equipped with anti-periodic boundary conditions involving the first-order ( p , q ) -difference operator. The desired results are accomplished with the aid of standard fixed point theorems. Examples are presented for illustrating the obtained results.

Keywords: fractional Caputo fractional ( p , q )-derivative; ( p , q )-difference operator; anti-periodic boundary conditions; existence; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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