On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative
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Publication:2138890
DOI10.1186/s13662-021-03229-8zbMath1487.34146OpenAlexW3165643615WikidataQ115241273 ScholiaQ115241273MaRDI QIDQ2138890
Mdi Begum Jeelani, Kishor D. Kucche, Thabet Abdeljawad, Mohammed S. Abdo, Manar A. Alqudah, Saeed M. Ali
Publication date: 12 May 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03229-8
fixed point theoremnonlocal conditionsgeneralized Gronwall inequalityABC-Caputo pantograph fractional differential equation
Stability theory of functional-differential equations (34K20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Functional-differential equations with fractional derivatives (34K37)
Related Items (15)
On Atangana-Baleanu-type nonlocal boundary fractional differential equations ⋮ ON EXISTENCE AND STABILITY RESULTS FOR PANTOGRAPH FRACTIONAL BOUNDARY VALUE PROBLEMS ⋮ On a nonlocal implicit problem under Atangana-Baleanu-Caputo fractional derivative ⋮ Stability of solutions for generalized fractional differential problems by applying significant inequality estimates ⋮ Qualitative analyses of fractional integrodifferential equations with a variable order under the Mittag-Leffler power law ⋮ Periodic solutions of nonlinear fractional pantograph integro-differential equations with \(\Psi\)-Caputo derivative ⋮ Lakshmikantham monotone iterative principle for hybrid Atangana-Baleanu-Caputo fractional differential equations ⋮ Solving systems of coupled nonlinear Atangana-Baleanu-type fractional differential equations ⋮ A higher-order extension of Atangana-Baleanu fractional operators with respect to another function and a Gronwall-type inequality ⋮ On periodic solutions for some nonlinear fractional pantograph problems with \(\Psi \)-Hilfer derivative ⋮ On implicit \(k\)-generalized \(\psi\)-Hilfer fractional differential coupled systems with periodic conditions ⋮ Unnamed Item ⋮ Existence results for nonlinear neutral generalized Caputo fractional differential equations ⋮ Existence and uniqueness of periodic solutions for some nonlinear fractional pantograph differential equations with \(\psi\)-Caputo derivative ⋮ A meshless method for solving nonlinear variable-order fractional Ginzburg-Landau equations on arbitrary domains
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