Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative

DOI10.15393/j3.art.2020.7410zbMath1462.34010OpenAlexW3036167591MaRDI QIDQ5151401

Mohammed A. Almalahi, Satish K. Panchal, Mohammed S. Abdo

Publication date: 17 February 2021

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa294

zbMATH Keywords

Mittag-Leffler functionfractional derivativesfixed point theoremfractional differential equationsUlam stability

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Implicit ordinary differential equations, differential-algebraic equations (34A09) Fixed-point theorems (47H10) Perturbations of ordinary differential equations (34D10) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

Related Items (3)

Stability results of positive solutions for a system of \(\psi \) -Hilfer fractional differential equations ⋮ Unnamed Item ⋮ Existence, uniqueness, and Mittag-Leffler-Ulam stability results for Cauchy problem involving \(\psi \)-Caputo derivative in Banach and Fréchet spaces

Cites Work

• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Existence and uniqueness for a problem involving hilfer fractional derivative
• Nonlocal initial value problems for differential equations with Hilfer fractional derivative
• A generalized Gronwall inequality and its application to a fractional differential equation
• Existence of a positive solution to a class of fractional differential equations
• Fractional order differential equations on an unbounded domain
• Existence results for BVP of a class of hilfer fractional differential equations
• Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
• Hyers-Ulam stability of linear differential equations of first order.
• On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions
• Existence and Ulam-Hyers-Mittag-Leffler stability results of \(\psi\)-Hilfer nonlocal Cauchy problem
• On Hilfer fractional difference operator
• Fractional boundary value problem with \(\psi\)-Caputo fractional derivative
• Existence and stability results for nonlinear implicit fractional differential equations with delay and impulses
• Global existence and uniqueness for implicit differential equation of arbitrary order
• ITERATED G–FRACTIONAL VECTOR REPRESENTATION FORMULAE AND INEQUALITIES FOR BANACH SPACE VALUED FUNCTIONS
• Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative
• Oscillation criteria for fractional impulsive hybrid partial differential equations
• L1-solutions for implicit fractional order differential equations with nonlocal conditions
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