On integral solutions for a class of mixed Volterra-Fredholm integro differential equations with Caputo fractional derivatives

DOI10.1007/978-981-16-8177-6_6zbMath1497.45013OpenAlexW4253549352MaRDI QIDQ2089415

Bandita Roy, Swaroop Nandan Bora

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-8177-6_6

zbMATH Keywords

measure of noncompactnessfixed-point theoremHille-Yosida conditionintegral solutionVolterra-Fredholm integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Cites Work

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• Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
• Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions
• The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
• Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
• Existence and uniqueness of mild solutions for abstract delay fractional differential equations
• On solutions of neutral nonlocal evolution equations with nondense domain
• On integral solutions of some nonlocal fractional differential equations with nondense domain
• Existence of the mild solution for fractional semilinear initial value problems
• Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Existence of nondensely defined evolution equations with nonlocal conditions
• Semigroups of linear operators and applications to partial differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Nondensely defined evolution equations with nonlocal conditions.
• On the nonexistence of global solutions for a class of fractional integro-differential problems
• The twisted Daehee numbers and polynomials
• A new collection of real world applications of fractional calculus in science and engineering
• Existence of mild solutions for fractional evolution equations
• Existence and uniqueness of mild solutions to impulsive fractional differential equations
• Impulsive fractional differential equations in Banach spaces
• Basic Theory of Fractional Differential Equations

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