Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations

DOI10.1186/S13662-017-1391-ZzbMath1444.34089OpenAlexW2766202911WikidataQ59523878 ScholiaQ59523878MaRDI QIDQ1710090

Peng Zhang

Publication date: 15 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1391-z

zbMATH Keywords

weak solutioncoupled systemmeasure of weak noncompactnessfunctional-integral equationpartial Pettis-Hadamard fractional integral

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (5)

Modified different nonlinearities for weakly coupled systems of semilinear effectively damped waves with different time-dependent coefficients in the dissipation terms ⋮ Solutions for a class of Hadamard fractional boundary value problems with sign-changing nonlinearity ⋮ Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems ⋮ Blow-up solutions for a singular nonlinear Hadamard fractional boundary value problem ⋮ Weak solutions for Caputo-Pettis fractional q-difference inclusions

Cites Work

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• Controllability for fractional evolution inclusions without compactness
• A survey on impulsive fractional differential equations
• Weak solutions for hyperbolic partial fractional differential inclusions in Banach spaces
• Topics in fractional differential equations
• On the time-fractional Navier-Stokes equations
• Weak solutions of the time-fractional Navier-Stokes equations and optimal control
• Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems
• Fixed-point theory for weakly sequentially continuous mappings
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Topological properties of solution sets of fractional stochastic evolution inclusions
• Attractivity for fractional differential equations in Banach space
• Existence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions
• Center stable manifold for planar fractional damped equations
• Weak solutions of ordinary differential equations in Banach spaces
• Fractional order integral equations of two independent variables
• Existence of nonoscillatory solutions for fractional neutral differential equations
• Existence of mild solutions for fractional evolution equations
• Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo‐elasticity
• An inverse problem for space and time fractional evolution equations with an involution perturbation
• Kneser's theorem for weak solutions of the Darboux problem in Banach spaces
• On Integration in Vector Spaces

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