Monotone iterative technique for nonlocal fractional differential equations with finite delay in Banach space

DOI10.14232/ejqtde.2015.1.9zbMath1349.34313OpenAlexW1130701812MaRDI QIDQ2803131

Jeet Kamal, Dhirendra Bahuguna

Publication date: 3 May 2016

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14232/ejqtde.2015.1.9

zbMATH Keywords

monotone iterative techniquesemigroup theoryfractional differential equationsfinite delayKuratowskii measure of noncompactness

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Theoretical approximation of solutions to functional-differential equations (34K07) Functional-differential equations with fractional derivatives (34K37)

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Monotone iterative technique for impulsive Riemann-Liouville fractional differential equations ⋮ Weighted fractional differential equations with infinite delay in Banach spaces ⋮ Fractional retarded evolution equations with measure of noncompactness subjected to mixed nonlocal plus local initial conditions ⋮ Monotone iterative technique for Sobolev type fractional integro-differential equations with fractional nonlocal conditions ⋮ On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions ⋮ Extremal mild solutions to fractional delay integro-differential equations with non-instantaneous impulses ⋮ A study of Sobolev type fractional impulsive differential systems with fractional nonlocal conditions ⋮ Monotone iterative technique for non-autonomous semilinear differential equations with nonlocal condition ⋮ Fractional Retarded Differential Equations Involving Mixed Nonlocal Plus Local Initial Conditions ⋮ Unnamed Item ⋮ Monotone iterative technique for nonlocal impulsive finite delay differential equations of fractional order ⋮ Existence and uniqueness of extremal mild solutions for non-autonomous nonlocal integro-differential equations via monotone iterative technique

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