Initial value problem of fractional integro-differential equations in Banach space
DOI10.1515/fca-2015-0003zbMath1317.34161OpenAlexW2563759654MaRDI QIDQ2260532
Publication date: 11 March 2015
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2015-0003
Schauder's fixed point theoreminitial value problemmeasure of noncompactnessmild solutionsfractional evolution equation
Partial functional-differential equations (35R10) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)
Cites Work
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- Mild solutions of functional semilinear evolution Volterra integrodifferential equations on an unbounded interval
- Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order
- An existence result for neutral delay integrodifferential equations with fractional order and nonlocal conditions
- Nonlocal Cauchy problem for fractional evolution equations
- A generalized Gronwall inequality and its application to a fractional differential equation
- Basic theory of fractional differential equations
- Existence of the mild solution for fractional semilinear initial value problems
- General uniqueness and monotone iterative technique for fractional differential equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Existence of mild solutions for fractional neutral evolution equations
- Nonlinear boundary value problems for differential inclusions with Caputo fractional derivative
- Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
- Existence of periodic solution for a nonlinear fractional differential equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Some probability densities and fundamental solutions of fractional evolution equations
- On solutions of an infinite system of singular integral equations
- Mild solutions of semilinear evolution equation on an unbounded interval and their applications
- Measure of Noncompactness and Nondensely Defined Semilinear Functional Differential Equations with Fractional Order
- On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
- Existence results for boundary value problems with non-linear fractional differential equations
- Fractional diffusion: probability distributions and random walk models
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