On stability analysis and existence of positive solutions for a general non-linear fractional differential equations

DOI10.1186/S13662-020-02729-3zbMath1485.34033OpenAlexW3036813548MaRDI QIDQ2116097

Anoop Kumar, Aziz Khan, Amita Devi, Dumitru Baleanu

Publication date: 16 March 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-020-02729-3

zbMATH Keywords

Hyers-Ulam stability\(p\)-Laplacian operatorCaputo fractional derivativeEU of positive solutionsGuo-Krasnoselskii's fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (13)

On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation ⋮ On the existence and stability of two positive solutions of a hybrid differential system of arbitrary fractional order via Avery-Anderson-Henderson criterion on cones ⋮ Stability results and existence for fractional differential equation involving Atangana-Baleanu derivative with nonlocal integral conditions ⋮ An existence result for optimal control of singular constraints involving 1-Laplacian operator ⋮ COMPUTATIONAL STUDY OF FRACTIONAL-ORDER VECTOR BORNE DISEASES MODEL ⋮ Hyers-Ulam stability and existence of solution for hybrid fractional differential equation with \(p\)-Laplacian operator ⋮ Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam-Hyers stability and travelling waves ⋮ Controllability of Prabhakar fractional dynamical systems ⋮ Exact controllability of Hilfer fractional differential system with non-instantaneous impluleses and state dependent delay ⋮ Bazykin's predator-prey model includes a dynamical analysis of a Caputo fractional order delay fear and the effect of the population-based mortality rate on the growth of predators ⋮ Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions ⋮ Unnamed Item ⋮ Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter

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