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Updated: Oct 22, 2025

Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional
Asma1, Sana Shabbir1, Kamal Shah2,3
1Department of Mathematics, COMSATS University of Islamabad, Sahiwal Campus, Punjab, Pakistan.
Abstract:
Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana-Baleanu-Caputo type derivative and integral. The required results are established by utilizing the Banach contraction mapping principle and fixed point theorem of Krasnoselskii. In addition, various types of stability results including Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability are formulated for the problem under consideration. Pertinent examples are given to justify the results we obtain.
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