Evidence map›Paper›PMID 34456987›Full record

ArticleAdvances in difference equations2021

Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative.

Asma, Sana Shabbir, Kamal Shah, Thabet Abdeljawad

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Article in Advances in difference equations, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

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3citing papers in PubMed
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1 · What the graph read from it

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3 · Its place in the literature

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3 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

AsmaDepartment of Mathematics, COMSATS University of Islamabad, Sahiwal Campus, Punjab, Pakistan.
Sana ShabbirDepartment of Mathematics, COMSATS University of Islamabad, Sahiwal Campus, Punjab, Pakistan.
Kamal ShahDepartment of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan.
Thabet AbdeljawadDepartment of Mathematics and General Sciences, Prince Sultan University, Riyadh, Saudi Arabia.ORCID 0000-0002-8889-3768

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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.

Indexed as

Atangana–Baleanu–Caputo derivativeFixed point theoremsStability results

Identifiers

PMID34456987
PMCPMC8383261

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