Implementation of q-calculus on q-integro-differential equation involving anti-periodic boundary conditions with three criteria

Mehboob Alam and Akbar Zada

Chaos, Solitons & Fractals, 2022, vol. 154, issue C

Abstract: In the present article, by using the Caputo type fractional q-derivative, we investigate the existence of solution for q-integro-differential equationcDqαu(σ)+ϕ(σ,u(σ),u′(σ),u″(σ),cDqβ1u(σ),cDqβ2u(σ),∫0σ1f(s)u(s)dqs,∫σ1σf(s)u(s)dqs)=0,involving anti-periodic boundary conditions with three criteria. By employing the α-admissible map and fixed point theory, sufficient conditions are established to ensure the existence of solution for the addressed equation. Examples involving pseudo-codes and tables are presented to demonstrate the validity of our theoretical findings.

Keywords: Caputo q-derivative; Pointwise defined singular equation; Three steps crisis phenomena; Singularity; Q-integro-differential equation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921009796

DOI: 10.1016/j.chaos.2021.111625

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