Details

Autor(en) / Beteiligte

• Ali, Zeeshan
• Zada, Akbar
• Shah, Kamal

Titel

On Ulam’s Stability for a Coupled Systems of Nonlinear Implicit Fractional Differential Equations

Ist Teil von

• Bulletin of the Malaysian Mathematical Sciences Society, 2019-09, Vol.42 (5), p.2681-2699

Ort / Verlag

Singapore: Springer Singapore

Erscheinungsjahr

2019

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability and generalized Ulam–Hyers–Rassias stability of the solutions to a nonlinear coupled systems of implicit fractional differential equations involving Caputo derivative. We develop conditions for uniqueness and existence by using the classical fixed point theorems such as Banach contraction principle and Leray–Schauder of cone type. For stability, we utilize classical functional analysis. Also, an example is given to demonstrate our main theoretical results.