Analysis of Mixed fractional integrodifferential equation with deviating argument via monotone iterative technique.

Vinod Kharat; M. A. KAZI; A. R. Reshimkar; M. T. Gophane

doi:10.5269/bspm.68631

Analysis of Mixed fractional integrodifferential equation with deviating argument via monotone iterative technique.

Vinod Kharat N B Navale Sinhgad College of Engineering, Solapur
M. A. KAZI Department of Mathematics, N. B. Navale Sinhgad College of Engg., Kegaon, Solapur-413255, India (M.S.) https://orcid.org/0009-0002-3445-3174
A. R. Reshimkar Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-413002, India (M.S.) https://orcid.org/0000-0001-6695-8543
M. T. Gophane Department of Mathematics, Shivaji University, Kolhapur-416004, India(M.S.) https://orcid.org/0009-0003-2334-480X

Resumo

This paper deals about study of Riemann-Liouville fractional integrodifferential equations with deviating and integral arguments under integral boundary conditions by developing a monotone interative technique by introducing upper and lower solutions to Riemann Liouville fractional integrodifferential equations. Earlier, existence and uniqueness theorems have been proved by D. Dhaigude and B. Rizqan. We are going to extend the result to fourth integral argument.