Upper and lower solutions for an integral boundary problem with two different orders (p,q)-fractional difference

• Published in: Journal of inequalities and applications Vol. 2024; no. 1; p. 104
• Main Authors: Mesmouli, Mouataz Billah, Al-Askar, Farah M., Mohammed, Wael W.
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.12.2024; Springer Nature B.V
• Subjects: Analysis; Applications of Mathematics; Boundary value problems; Calculus; Difference equations; Integral equations; Mathematics; Mathematics and Statistics; IBVP; difference fractional derivatives; 47H10; Positive solutions; 34A12; Fixed point; 34A08; 34B18

In this paper, a ( p , q ) -fractional nonlinear difference equation of different orders is considered and discussed. With the help of ( p , q ) -calculus for integrals and derivatives properties, we convert the main integral boundary value problem (IBVP) to an equivalent solution in the form of an...