Fractional Integrodifferential Equations
Existence and Uniqueness of Mild Solutions for Fractional Integrodifferential Equations
... of fractional evolution equations”, Chaos, Solitons and Fractals, ...stochastic fractional integrodifferential equations”, Advances in Dynamical Systems and Applications, ...
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Existence and Uniqueness of Mittage-Leffler-Ulam Stable Solution for Fractional Integrodifferential Equations with Nonlocal Initial Conditions
... for fractional integrodifferential equations with nonlocal initial conditions are investigated by using Hölder’s inequality, p−mean con- tinuity and Schauder’s fixed point theorem in Banach ...
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Lyapunov stability solutions of fractional integrodifferential equations
... In recent papers [7, 8], we used Schauder’s fixed-point theorem to obtain local exis- tence, and Tychonov’s fixed-point theorem to obtain global existence of solution of the fractional integrodifferential ...
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Existence result for neutral fractional integrodifferential equations with nonlocal integral boundary conditions
... In this article, we study a neutral fractional integrodifferential equation supplemented with nonlocal flux type integral boundary conditions. The existence and uniqueness results are obtained by using ...
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Nonlocal cauchy problem for delay fractional integrodifferential equations of neutral type
... integrodifferential equations of neutral type with finite delay and nonlocal conditions in a Banach space X ...some integrodifferential equation is ...
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Existence of solutions for impulsive fractional integrodifferential equations with mixed boundary conditions
... noncompactness, we discuss the existence of solutions for a boundary value problem of impulsive integrodifferential equations of fractional order α ∈ (1, 2]. Our results improve and generalize some known ...
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Weak solutions nonlinear fractional integrodifferential equations in nonreflexive Banach spaces
... The aim of this paper is to discuss the existence of weak solutions for a nonlinear two-point boundary value problem of integrodifferential equations of fractional order α ∈ (1, 2]. Our analysis relies on ...
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Existence of Mild Solutions to Fractional Integrodifferential Equations of Neutral Type with Infinite Delay
... We study the solvability of the fractional integrodifferential equations of neutral type with infinite delay in a Banach space X. An existence result of mild solutions to such problems is obtained under the ...
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Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations
... Therefore, the main result of this paper also includes the existence as well as approximation results for the solutions of above mentioned initial value problems of fractional differential equations as ...
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Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets
... of fractional derivatives does not constitute a disadvantage, since they can be used in different models which provide the best reflection of the behavior of the ...differential equations is an area of ...
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Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary Conditions
... This paper deals with some existence results for a boundary value problem involving a nonlinear integrodi ff erential equation of fractional order q ∈ 1, 2 with integral boundary conditions. Our results are based ...
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Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations
... N’Gu´er´ekata, “A Cauchy problem for some fractional abstract di ff erential equation with non local conditions,” Nonlinear Analysis: Theory, Methods & Applications , vol. N’Gu´er´eka[r] ...
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Solutions to Riemann–Liouville fractional integrodifferential equations via fractional resolvents
... Some authors have discussed the solutions to fractional differential equations with Riemann–Liouville fractional derivative [18, 31–33]. For the mild solution, there are two different types of ...
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On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition
... 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 485 2 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 486 3 Fractional ...
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Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay
... We study the existence and uniqueness of mild solution of a class of nonlinear nonautonomous fractional integrodifferential equations with infinite delay in a Banach space X. The existence of mild solution ...
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A Characterization of Semilinear Surjective Operators and Applications to Control Problems
... The novelty in this work lies in the following facts: First, the main results are obtained by standard and basic functional analysis such as Cauchy-Schwarz inequality, Hahn-Banach theorem, the open mapping theorem, etc. ...
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Integrodifferential Inequality for Stability of Singularly Perturbed Impulsive Delay Integrodifferential Equations
... with impulsive initial conditions and derived some sufficient conditions ensuring the exponential stability of solutions for the singular perturbed impulsive delay differential equations SPIDDEs. In this paper, we ...
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Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations
... (for equations without the integral term) that f (0) = 0 is almost necessary to obtain the convergence in derivative at t = ...For equations with the integral term, we also need this condition in [2] and ...
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Nonlinear functional integrodifferential equations in Hilbert space
... [1] M. B. Dhakne and B. G. Pachpatte, On some abstract functional integrodifferential equations, Indian J. Pure Appl. Math. 22 (1991), no. 2, 109–134. MR 92e:47127. Zbl 728.45013. [2] J. M. Jeong, S. Nakagiri, and ...
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An abstract partial functional integrodifferential equations
... engineering applications, see, for example, the books and the papers in the following references [[20], [21], [25], [30], [34]] , [19, 28] and the references therein. Equations with delay appear in many ...
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