Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus

DOI10.1186/s13662-015-0451-5zbMath1422.34180OpenAlexW2092039345WikidataQ59412667 ScholiaQ59412667MaRDI QIDQ1794977

Ravi P. Agarwal, Ghaus ur Rahman, Vasile Lupulescu, Donal O'Regan

Publication date: 16 October 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0451-5

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)

Related Items

Generalized fractional calculus in Banach spaces and applications to existence results for boundary value problems, Hadamard-type fractional calculus in Banach spaces, On the solutions of Caputo-Hadamard Pettis-type fractional differential equations, Unnamed Item

Cites Work

• On solutions of fractional order boundary value problems with integral boundary conditions in Banach spaces
• Global monotonic solutions of multi term fractional differential equations
• On bounded weak solutions of a nonlinear differential equation in Banach spaces
• Weak solutions for the dynamic Cauchy problem in Banach spaces
• Fixed-point theory for weakly sequentially continuous mappings
• On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order
• Multi-term fractional differential equations in a nonreflexive Banach space
• On solutions of differential equations in Banach spaces
• Weak solutions of ordinary differential equations in Banach spaces
• Solutions of differential equations in B-spaces
• Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators
• Solving a multi-order fractional differential equation using Adomian decomposition
• On the nonlinear hammerstein integral equations in Banach spaces and application to the boundary value problem of fractional order
• Multi-term fractional differential equation in reflexive Banach space
• Fractional calculus and fractional differential equations in nonreflexive Banach spaces
• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces
• Weak solutions for nonlinear fractional differential equations on reflexive Banach spaces
• The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem
• Pettis integral and measure theory
• Unique solutions of some Voltera integral equations.
• Geometry and the Pettis Integral
• On the existence of weak solutions of differential equations in nonreflexive banach spaces
• Kneser's theorem for weak solutions of an mth-order ordinary differential equation in Banach spaces
• Kneser's theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces
• A note on the fractional calculus in Banach spaces
• Kneser’s theorem for weak solutions of an integral equation with weakly singular kernel
• On differentiability of vector-valued functions of a real variable
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