On global existence and Ulam-Hyers stability of $\Psi-$Hilfer fractional integrodifferential equations

Document Type : Research Article


1 Department~of~Mathematics, N. B. Navale Sinhgad College of Engg., Kegaon, Solapur-413255, India (M.S.)

2 Department of Mathematics, D. B. F. Dayanand College of Arts and Science, Solapur-413002, India (M.S.)


In this sense, for this new fractional integrodifferential equation, we study the Ulam-Hyers and Ulam-Hyers-Rassias stability via successive approximation method. Further, we investigate the dependence of solutions on the initial conditions and uniqueness via $\epsilon-$approximated solution.