Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Akbar Zada; Hira Waheed

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Practical Ulam-Hyers-Rassias stability for nonlinear equations

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In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear...