Existence uniqueness theorems for multi-term fractional delay differential equations
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Publication:888900
DOI10.1515/fca-2015-0064zbMath1334.34172OpenAlexW2565467380MaRDI QIDQ888900
Sangita Choudhary, Varsha Daftardar-Gejji
Publication date: 3 November 2015
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2015-0064
periodic boundary conditionGreen functionCaputo derivativeexistence-uniqueness theoremfractional delay differential equation
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)
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Cites Work
- Unnamed Item
- Existence of solution for delay fractional differential equations
- Fractional Bloch equation with delay
- Existence and uniqueness of mild solutions for abstract delay fractional differential equations
- Delay differential equations: with applications in population dynamics
- Fractional ordered Liu system with time-delay
- Existence of positive solutions of nonlinear fractional delay differential equations
- The existence of a positive solution of \(D^{\alpha}[x(t) - x(0) = x(t) f (t,x_t)\)]
- Initial value problems for arbitrary order fractional differential equations with delay
- Existence and uniqueness for fractional neutral differential equations with infinite delay
- Theory of fractional functional differential equations
- Existence of fractional neutral functional differential equations
- On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Leray-Schauder degree: A half century of extensions and applications
- Modifications of the optimal velocity traffic model to include delay due to driver reaction time
- Age-structured and two-delay models for erythropoiesis
- Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay
- Existence results for fractional order functional differential equations with infinite delay
- Über die Methode der a priori-Schranken
- Nonlinear multi-order fractional differential equations with periodic/anti-periodic boundary conditions
- GENERALIZED FRACTIONAL ORDER BLOCH EQUATION WITH EXTENDED DELAY
