Existence results for fractional hybrid differential systems in Banach algebras

DOI10.1186/s13662-016-0784-8zbMath1419.34077OpenAlexW2287264625WikidataQ59480042 ScholiaQ59480042MaRDI QIDQ1796710

Seiyed Mansour Vaezpour, Tahereh Bashiri, Chun-Gil Park

Publication date: 17 October 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-016-0784-8

zbMATH Keywords

Banach algebrasRiemann-Liouville fractional derivativecoupled fixed point theoremhybrid initial value problem

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Hybrid systems of ordinary differential equations (34A38) Banach algebra techniques applied to functions of several complex variables (32A65)

Related Items (11)

STABILITY OF NONLINEAR HYBRID FRACTIONAL DIFFERENTIAL EQUATION WITH ATANGANA-BALEANU OPERATOR ⋮ Hyers-Ulam stability and existence of solution for hybrid fractional differential equation with \(p\)-Laplacian operator ⋮ Analysis and applications of sequential hybrid \(\psi\)-Hilfer fractional differential equations and inclusions in Banach algebra ⋮ On the existence for parametric boundary value problems of a coupled system of nonlinear fractional hybrid differential equations ⋮ Solvability and stability of nonlinear hybrid \(\Delta\)-difference equations of fractional-order ⋮ On coupled system of nonlinear \(\Psi\)-Hilfer hybrid fractional differential equations ⋮ Existence results of initial value problems for hybrid fractional sum-difference equations ⋮ EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR ⋮ On impulsive coupled hybrid fractional differential systems in Banach algebras ⋮ Unnamed Item ⋮ Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

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