Weighted bounded solutions for a class of nonlinear fractional equations

DOI10.1515/fca-2016-0055zbMath1346.34012OpenAlexW2514962227MaRDI QIDQ309310

Carlos Lizama, M. Pilar Velasco

Publication date: 7 September 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2016-0055

zbMATH Keywords

Banach spacecompact operator\(\alpha\)-resolvent sequencesfractional differencesweighted sequence space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear difference operators (47B39) Fractional ordinary differential equations (34A08) Numerical methods for difference equations (65Q10)

Related Items (12)

A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity ⋮ \(M\)-fractional derivative under interval uncertainty: theory, properties and applications ⋮ On well-posedness of vector-valued fractional differential-difference equations ⋮ Existence of weighted bounded solutions for nonlinear discrete-time fractional equations ⋮ Optimal variable-order fractional PID controllers for dynamical systems ⋮ Well posedness for semidiscrete fractional Cauchy problems with finite delay ⋮ Stability analysis for discrete time abstract fractional differential equations ⋮ Asymptotic behavior of mild solutions for nonlinear fractional difference equations ⋮ The Cauchy problem for discrete time fractional evolution equations ⋮ Explicit representation of discrete fractional resolvent families in Banach spaces ⋮ Existence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equations ⋮ Well-posedness of fractional degenerate differential equations in Banach spaces

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