[PDF] Top 20 On solutions for classes of fractional differential equations

... studied fractional dynamic equations generalizing the diffusion or wave equa- tions in terms of R-L or Caputo time fractional derivatives, and their fundamental solutions have been repre- ... See full document

... extreme solutions (maximal and minimal solutions) for fractional differential equation with maxima in sense of Riemann-Liouville frac- tional operators, by using the Tarski’s fixed point ... See full document

... differential equations have been of increasing importance in the past decades due to their diverse applications in science and engineering, such as the memory of a vari- ety of materials, signal identification and ... See full document

... Existence of Positive Solutions to Semipositone Fractional Differential Equations Xinsheng Du School of Mathematics Sciences, Qufu Normal University, Qufu, China Received 19 June 2016; a[r] ... See full document

... some fractional abstract differential equation with non local conditions,” Nonlinear Analysis: Theory, Methods & Applications, ...of Fractional Calculus in Physics, World Scientific, River Edge, NJ, USA, ... See full document

... constants and D denotes the usual Riemann-Liouville fractional derivative. Based upon a fixed point theorem of increasing ϕ -(h, e)-concave operators, we establish the existence and uniqueness of solutions ... See full document

... of solutions for boundary value problem of fractional differential equations with nonlocal boundary conditions by the use of techniques of nonlinear analysis (fixed point theorems, Leray-Schauder ... See full document

... type fractional differential ...of fractional derivatives found in the literature is the fractional derivative due to Hadamard introduced in  [], which differs from the aforementioned derivatives ... See full document

... Motivated by the articles [–], in this article we study the differential equations (.) under resonance conditions on the unbounded domains. Moreover, we have successfully established the existence theorem by ... See full document

... 1. Diethelm, K., Freed, A.D.: On the solution of nonlinear fractional order differential equations used in the modelling of viscoplasticty. In: Keil, F., Mackens, W., Voss, H., Werther, J. (eds.) Scientific ... See full document

... of solutions are among the most impor- tant qualitative properties of differential ...differential equations involving the fractional derivatives were tackled by many researchers (see [22–26] and the ... See full document

... Differential equations of fractional order have played a significant role in engineering, sci- ence, and pure and applied mathematics in recent ...differential equations, such as ...of fractional ... See full document

... where 1 < α < 2, A : DA ⊂ X → X is a sectorial operator of type ω in a Banach space X, and f : R × X → X is Stepanov-like almost automorphic in t ∈ R satisfying some kind of Lipschitz conditions in x ∈ X. In ... See full document

... In this paper, we set I 0, T , a compact interval in R. We denote by X a Banach space with norm · . Let −A : DA → X be the infinitesimal generator of a compact analytic semigroup of uniformly bounded linear operators ... See full document

... The rest of this paper is organized as follows. Section  contains some necessary no- tations, definitions and lemmas. In Section , we establish a theorem on the existence of positive solutions for FBVP (.) ... See full document

... conformable fractional differential equa- ...conformable fractional derivative. The three equations represent three classes of equations of different ... See full document

... the fractional differential equations in many different respects: the connection between solutions of fractional Cauchy problems and Cauchy problems of first order [10]; the existence ... See full document

... Fractional differential equations have been recently used as effective tools in study the modelling of many real ...by fractional derivatives, see for examples [8, ...on fractional ... See full document

... differential equations are of interest in many areas of applications, such as eco- nomics, signal identification and image processing, optical systems, aerodynamics, bio- physics, thermal system materials and ... See full document

... the fractional integral and derivative intro- duced in ...the fractional inte- grals and ...type fractional differential equations are explored: Existence and uniqueness of ... See full document