Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition

DOI10.1016/J.CAMWA.2018.11.007zbMath1442.35529OpenAlexW2902272576WikidataQ128827326 ScholiaQ128827326MaRDI QIDQ2203222

Nguyen Huy Tuan, Tran Bao Ngoc, Le Nhat Huynh, Mukhtar Bin Muhammad Kirane

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.11.007

zbMATH Keywords

nonlocal problemfractional diffusion equationfixed-point theory

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (4)

Nonlinear multi-term fractional differential equations with Riemann-Stieltjes integro-multipoint boundary conditions ⋮ Existence results for a class of boundary value problems for fractional differential equations ⋮ Existence of mild solutions for nonlocal evolution equations with the Hilfer derivatives ⋮ On mild solutions of the generalized nonlinear fractional pseudo-parabolic equation with a nonlocal condition

Cites Work

• Unnamed Item
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• Nonlocal nonlinear integrodifferential equations of fractional orders
• Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
• Optimal stochastic control, stochastic target problems, and backward SDE.
• Existence of solutions for a class of abstract differential equations with nonlocal conditions
• Nonlocal Cauchy problem for fractional evolution equations
• Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
• Existence of mild solutions for fractional neutral evolution equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Fractional backward stochastic differential equations and fractional backward variational inequalities
• Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions
• Backward Stochastic Differential Equation Driven by Fractional Brownian Motion
• Theoretical Numerical Analysis
• Backward Stochastic Differential Equations in Finance
• Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation
• On a final value problem for the time-fractional diffusion equation with inhomogeneous source
• A backward problem for the time‐fractional diffusion equation

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