scientific article; zbMATH DE number 7063822

zbMath1421.34002MaRDI QIDQ5381014

Jamal-Eddine Lazreg, Saïd Abbas, John R. Graef, Mouffak Benchohra

Publication date: 7 June 2019

Full work available at URL: http://online.watsci.org/contents2019/v26n2a.html

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zbMATH Keywords

weak solutionimpulsesfixed pointmeasure of weak noncompactnessfractional differential equationHadamard fractional derivativenoninstantaneous impulsesPettis Riemann-Liouville integral of fractional order

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Related Items

Caputo-Fabrizio fractional differential equations with non instantaneous impulses ⋮ Caputo-Fabrizio fractional differential equations with instantaneous impulses ⋮ Coupled systems of Hilfer fractional differential inclusions in Banach spaces ⋮ On implicit fractional q‐difference equations: Analysis and stability ⋮ Impulsive Caputo-Fabrizio fractional differential equations in \(b\)-metric spaces ⋮ Weak solutions for Caputo-Pettis fractional q-difference inclusions

Cites Work

• Weak solutions for hyperbolic partial fractional differential inclusions in Banach spaces
• The Darboux problem for an implicit fractional-order differential equation
• Topics in fractional differential equations
• An existence theorem for implicit differential equations in a Banach space
• Fixed-point theory for weakly sequentially continuous mappings
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• Existence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions
• Weak solutions of ordinary differential equations in Banach spaces
• New stability results for partial fractional differential inclusions with not instantaneous impulses
• Impulsive Differential Inclusions
• On a new class of abstract impulsive differential equations
• Kneser's theorem for weak solutions of the Darboux problem in Banach spaces
• On fractional order derivatives and Darboux problem for implicit differential equations
• Basic Theory of Fractional Differential Equations
• On Integration in Vector Spaces
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