Nonlinear boundary value problem for implicit differential equations of fractional order in Banach spaces

DOI10.24193/FPT-RO.2017.2.36zbMath1386.34010OpenAlexW2735758339MaRDI QIDQ4603121

Mohamed Abdalla Darwish, Soufyane Bouriah, Mouffak Benchohra

Publication date: 19 February 2018

Published in: Fixed Point Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.24193/fpt-ro.2017.2.36

zbMATH Keywords

existencefixed pointmeasure of noncompactnessboundary value problemfractional integralCaputo's fractional derivativeGronwall's lemma for singular kernelsimplicit fractional differential equations in Banach space

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Fixed-point theorems (47H10) Fractional ordinary differential equations (34A08)

Related Items (9)

Implicit fractional differential equation with anti-periodic boundary condition involving Caputo-Katugampola type ⋮ Existence and Ulam stability for implicit fractional \(q\)-difference equations ⋮ Existence and uniqueness results for nonlinear implicit Riemann-Liouville fractional differential equations with nonlocal conditions ⋮ Unnamed Item ⋮ Initial value problems of nonlinear fractional differential equations with two orders ⋮ Caputo-Hadamard implicit fractional differential equations with delay ⋮ Unnamed Item ⋮ Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative ⋮ Terminal value problem for differential equations with Hilfer-Katugampola fractional derivative

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