Lucas polynomials semi-analytic solution for fractional multi-term initial value problems
نویسندگان
چکیده
منابع مشابه
Studies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
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متن کاملStudies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
Abstract. The Sturm-Liouville boundary value problem of the multi-order fractional differential equation is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.
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Article history: Received 5 February 2010 Available online 26 August 2010 Submitted by P. Broadbridge
متن کاملstudies on sturm-liouville boundary value problems for multi-term fractional differential equations
abstract. the sturm-liouville boundary value problem of the multi-order fractional differential equation is studied. results on the existence of solutions are established. the analysis relies on a weighted function space and a fixed point theorem. an example is given to illustrate the efficiency of the main theorems.
متن کاملInitial Value Problems in Discrete Fractional Calculus
This paper is devoted to the study of discrete fractional calculus; the particular goal is to define and solve well-defined discrete fractional difference equations. For this purpose we first carefully develop the commutativity properties of the fractional sum and the fractional difference operators. Then a ν-th (0 < ν ≤ 1) order fractional difference equation is defined. A nonlinear problem wi...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2019
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2402-z