Title of article :
On global existence and Ulam-Hyers stability of Hilfer fractional integrodifferential equations
Author/Authors :
Vijaykumar Kharat, Vinod Department of Mathematics - N. B. Navale Sinhgad College of Engg, Kegaon, India , Rajshekhar Reshimkar, Anand Department of Mathematics - D. B. F. Dayanand College of Arts and Science, India
Abstract :
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 ϵ−approximated solution.
Keywords :
Banach fixed-point theorem , fractional integrodifferential equations , Psi− Hilfer fractional derivative , Ulam-Hyers stability
Journal title :
Journal of Mathematical Modeling(JMM)
