Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses

DOI10.1515/FCA-2019-0029zbMath1428.34114OpenAlexW2947906605WikidataQ115236514 ScholiaQ115236514MaRDI QIDQ2328622

Jayanta Borah, Swaroop Nandan Bora

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0029

zbMATH Keywords

fixed point theoremsmild solutionfractional calculusfractional differential equation with impulses

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Applications of operator theory to differential and integral equations (47N20) Boundary value problems for functional-differential equations (34K10) Functional-differential equations with fractional derivatives (34K37)

Related Items (10)

Existence of solutions for impulsive hybrid boundary value problems to fractional differential systems ⋮ On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses ⋮ Existence results for Atangana-Baleanu fractional neutral integro-differential systems with infinite delay through sectorial operators ⋮ Generalized Ulam-Hyers-Rassias stability of solution for the Caputo fractional non-instantaneous impulsive integro-differential equation and its application to fractional RLC circuit ⋮ Extremal mild solutions to Hilfer evolution equations with non-instantaneous impulses and nonlocal conditions ⋮ A theoretical study of the fractional-order \(p\)-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam-Hyers stability ⋮ Study on Sobolev type Hilfer evolution equations with non-instantaneous impulses ⋮ The method of lower and upper solution for Hilfer evolution equations with non-instantaneous impulses ⋮ Mittag-Leffler stability of nabla discrete fractional-order dynamic systems ⋮ Existence of mild solutions for perturbed fractional neutral differential equations through deformable derivatives in Banach spaces

Cites Work

• Unnamed Item
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• On a new class of impulsive fractional differential equations
• A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations
• Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
• On recent developments in the theory of boundary value problems for impulsive fractional differential equations
• Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
• On the concept and existence of solution for impulsive fractional differential equations
• Periodic solutions for nonlinear evolution equations with non-instantaneous impulses
• Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
• Nonlocal Cauchy problem for fractional evolution equations
• Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• On the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces
• On the new concept of solutions and existence results for impulsive fractional evolution equations
• New stability results for partial fractional differential inclusions with not instantaneous impulses
• Noninstantaneous impulses in Caputo fractional differential equations and practical stability via Lyapunov functions
• Non-instantaneous impulses in Caputo fractional differential equations
• Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
• Existence and uniqueness of mild solutions to impulsive fractional differential equations
• On a new class of abstract impulsive functional differential equations of fractional order
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• On a new class of abstract impulsive differential equations

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