•Journal•ISSN: 1417-3875
Electronic Journal of Qualitative Theory of Differential Equations
University of Szeged
About: Electronic Journal of Qualitative Theory of Differential Equations is an academic journal published by University of Szeged. The journal publishes majorly in the area(s): Boundary value problem & Nonlinear system. It has an ISSN identifier of 1417-3875. It is also open access. Over the lifetime, 1521 publications have been published receiving 12630 citations. The journal is also known as: EJQTDE.
Topics: Boundary value problem, Nonlinear system, Differential equation, Uniqueness, Fixed-point theorem
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TL;DR: In this article, the Laplace transform for the nabla derivative on the time scale of integers is introduced and properties of discrete fractional calculus in the sense of a backward difference are introduced and developed.
Abstract: Properties of discrete fractional calculus in the sense of a backward difference are introduced and developed. Exponential laws and a product rule are developed and relations to the forward fractional calculus are explored. Properties of the Laplace transform for the nabla derivative on the time scale of integers are developed and a fractional finite difference equation is solved with a transform method. As a corollary, two new identities for the gamma function are exhibited.
372 citations
TL;DR: In this article, the existence of at least one and at least three positive solutions to the nonlinear fractional boundary value problem Du + a(t)f(u) = 0, 0 < t < 1,1 < � � 2,
Abstract: In this paper we give sufficient conditions for the existence of at least one and at least three positive solutions to the nonlinear fractional boundary value problem Du + a(t)f(u) = 0, 0 < t < 1,1 < � � 2,
295 citations
TL;DR: In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order are studied, and four types of stability results are presented for the case of 0 < � < 1 and b = + 1 by virtue of the Henry-Gronwall inequality.
Abstract: In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of orderare studied. We present four types of Ulam stability results for the fractional differential equation in the case of 0 < � < 1 and b = +1 by virtue of the Henry-Gronwall inequality. Meanwhile, we give an interesting data dependence results for the fractional differential equation in the case of 1 < � < 2 and b < +1 by virtue of a generalized Henry-Gronwall inequality with mixed integral term. Finally, examples are given to illustrate our theory results.
226 citations
Abstract: In this paper, we investigate the existence of nontrivial solutions to the nonlinear q-fractional boundary value problem
168 citations
TL;DR: Kaufmann et al. as discussed by the authors presented the work of the Centro de Investigacion y Estudios de Matematica (CESM) at the Universidad Nacional de Cordoba.
Abstract: Fil: Kaufmann, Uriel. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Centro Cientifico Tecnologico Conicet - Cordoba. Centro de Investigacion y Estudios de Matematica. Universidad Nacional de Cordoba. Centro de Investigacion y Estudios de Matematica; Argentina
130 citations