Study of impulsive fractional differential equation under Robin boundary conditions by topological degree method

DOI10.1186/s13661-020-01396-3zbMath1495.34012OpenAlexW3031301830WikidataQ115241481 ScholiaQ115241481MaRDI QIDQ2126621

Ibrahim Mahariq, Thabet Abdeljawad, Atta Ullah, Kamal Shah, Rahmat Ali Khan

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01396-3

zbMATH Keywords

Robin boundary conditionstopological degree theoryfractional differential equationsimpulsive problems

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Applications of operator theory to differential and integral equations (47N20) Boundary value problems with impulses for ordinary differential equations (34B37) Fractional ordinary differential equations (34A08)

Related Items (9)

CAPUTO-TYPE FRACTIONAL SYSTEMS WITH VARIABLE ORDER DEPENDING ON THE IMPULSES AND CHANGING THE KERNEL ⋮ Mathematical analysis of nonlinear integral boundary value problem of proportional delay implicit fractional differential equations with impulsive conditions ⋮ Existence and Ulam-Hyers stability of a kind of fractional-order multiple point BVP involving noninstantaneous impulses and abstract bounded operator ⋮ On the generalized fractional snap boundary problems via \(G\)-Caputo operators: existence and stability analysis ⋮ Analysis of fractional integro-differential equation with Robin boundary conditions using topological degree method ⋮ A new effective technique of nonlocal controllability criteria for state delay with impulsive fractional integro-differential equation ⋮ Some qualitative analyses of neutral functional delay differential equation with generalized Caputo operator ⋮ Existence of periodic solutions of second-order nonlinear random impulsive differential equations via topological degree theory ⋮ Study of fuzzy fractional nonlinear equal width equation in the sense of novel operator

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