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

Authors

Vinod Kharat N B Navale Sinhgad College of Engineering, Solapur
Mr. 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
Mr. 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
Dr. M. T. GOPHANE Department of Mathematics, Shivaji University, Kolhapur-416004, India(M.S.) https://orcid.org/0009-0003-2334-480X

DOI:

https://doi.org/10.5269/bspm.68631

Abstract

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.