scientific article; zbMATH DE number 7370660

MaRDI QIDQ5000145

Belén López, Aldona Dutkiewicz, Simon Reinwand, Jürgen Appell, Kishin Sadarangani

Publication date: 9 July 2021

Full work available at URL: http://www.math.ubbcluj.ro/~nodeacj/download.php?f=211-app-dut-lop-rei-sad-3033-finalR.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

initial value problemsingular integral equationNemytskij operatorDarbo fixed point theoremSchauder fixed point theoremRiemann-Liouville operatorCaputo derivativeintegral-type Hölder space

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Lipschitz (Hölder) classes (26A16) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05) Integral equations with kernels of Cauchy type (45E05) Operator theory (47-XX)

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On the Banach algebra of integral-variation type Hölder spaces and quadratic fractional integral equations

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