[PDF] Top 20 On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation
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On the existence of mild solutions to the Cauchy problem for a class of fractional evolution equation
... about fractional order operator and measure of noncompactness. A new existence result and the global attractive property of the solutions will be given and proved in Section ...and fractional ... See full document
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Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
... integral equation of a new type for a class of fractional evolution equations, which is different from those obtained in the existing literature, the paper investigates a class of ... See full document
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Existence of positive mild solutions for a class of fractional evolution equations on the half line
... integral equation of a new form for a class of fractional evolution equations is obtained by the method of Laplace transform, which is different from those given in the existing ...upper ... See full document
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Existence of Mild Solutions to a Cauchy Problem Presented by Fractional Evolution Equation with an Integral Initial Condition
... Although, fractional calculus is a topic being more than 300 years old, yet it can be considered as a novel topic, for example see [1, 7, ...of fractional evolution equations is one of the developing ... See full document
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Existence and uniqueness of mild solutions for a class of nonlinear fractional evolution equation
... 1. Diethelm, K, Freed, AD: On the solution of nonlinear fractional order differential equations used in the modeling of viscoelasticity. In: Keil, F, Machens, W, Voss, H, Werther, J (eds.) Scientific Computing in ... See full document
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On the \(\mathcal{PC}\)-mild solutions of abstract fractional evolution equations with non-instantaneous impulses via the measure of noncompactness
... the existence results for mild solutions of abstract fractional evolution equations with non-instantaneous impulses on an unbounded ...the existence of S-asymptotically ω ... See full document
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Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations
... Nonlocal conditions were initiated by Byszewski [] when he proved the existence and uniqueness of mild and classical solutions of nonlocal Cauchy problems. As remarked by Byszewski and ... See full document
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Existence and uniqueness of mild solutions to initial value problems for fractional evolution equations
... for fractional evolution equations have been investigated by many ...the solutions to Cauchy problems for different fractional evolution ...of mild solutions of ... See full document
13
Nonlocal impulsive fractional semilinear differential equations with almost sectorial operators
... and mild solutions of abstract fractional cauchy problems using almost sectorial operators and in [32], ...the existence of mild solutions for cauchy problem ... See full document
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Existence of mild solutions for fractional impulsive neutral evolution equations with nonlocal conditions
... the fractional power of the generator of an analytic semigroup and the frac- tional ...the existence of mild solutions of the problem ... See full document
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Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations
... of fractional calculus itself and by the ...mathematics, fractional differential equations arise in rheol- ogy, dynamical processes in self-similar and porous structures, fluid flows, electrical net- works, ... See full document
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Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay
... a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional ...of ... See full document
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Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition
... value problem of fractional equations has emerged as a new branch in the fields of differential equations for their deep ...of fractional calculus frequently appears in various fields such as physics, ... See full document
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On the existence of nonnegative solutions for a class of fractional boundary value problems
... a fractional order differ- ential equation admits a nonnegative solution, whose slope at the end of times depends on its values on the whole time ...following fractional differential ... See full document
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A second order impulsive Cauchy problem
... the existence of mild and classical solutions for an abstract second-order impul- sive Cauchy problem modeled in the form ¨ u(t) = Au(t)+ f (t, u(t), u(t)), t ˙ ∈ (−T 0 , T 1 ), t ≠ t i ... See full document
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Existence of the classical and strong solutions for fractional semilinear initial value problems
... the fractional calculus and its applications in various fields of science and engineering have received much attention, and many papers and books on fractional cal- culus, fractional differential ... See full document
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Existence of weak solutions for abstract hyperbolic parabolic equations
... In this is work he proved the existence of classical solution by iterative methods for the mixed problem associated to the equation... EXISTENCE OF WEAK SOLUTIONS FOR CAUCHY PROBLEMS.[r] ... See full document
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Fractional Evolution Integrodifferential Systems with Nonlocal Conditions in Banach Spaces
... an evolution operator in the Banach space the function is real valued and locally integrable on into and let ...The Fractional differential equations have been studied with more interest by many authors [8, ... See full document
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Regularity of weak solutions of the Cauchy problem to a fractional porous medium equation
... weak solutions of the Cauchy problem to a fractional porous medium equation with a forcing ...the existence of the weak solution and the uniqueness of the weak energy ... See full document
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Existence of mild solutions for fractional evolution equations with nonlocal conditions
... the fractional power of the generator of an analytic semigroup and on the mild solutions of ...the existence and uniqueness of mild solutions of ... See full document
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