A generalized contraction mapping applied in solving modified implicit \(\phi\)-Hilfer pantograph fractional differential equations
DOI10.1007/s41478-022-00500-3zbMath1518.54030OpenAlexW4302305085WikidataQ115371061 ScholiaQ115371061MaRDI QIDQ6040577
Godwin Amechi Okeke, Celestin Akwumbuom Nse, Daniel Francis
Publication date: 19 May 2023
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41478-022-00500-3
unique fixed pointgeneralised metric spaces\(\alpha\)-\(\psi\)-contraction mappings\(\phi\)-Caputo derivative\(\phi\)-Hilfer derivative\(\phi\)-Riemann-Liouville fractional integral of order \(1-\mu\)\(\phi\)-Riemann-Liouville integralgeneralised \((\alpha \cdot \psi)\)-contractive mapping of type Igeneralised \((\alpha \cdot \psi)\)-contractive mapping of type IImodified implicit \(\phi\)-Hilfer derivative
Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Functional-differential equations with fractional derivatives (34K37)
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