%%% "Fractional Calculus & Applied Analysis" (FCAA Journal);
%%% This is the auxiliary style file "lxstyle.tex" that
%%% should be input in the beginning of sample paper "lxfcaa1.tex"
%%% or any paper prepared for publication in "FCAA" Journal;
%%% It is for LaTeX (2.09) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Last updated Jan. 15, 1999, V. Kiryakova

\documentstyle[twoside,11pt,amsfonts]{article}
\pagestyle{myheadings}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\textwidth 13.6cm  \textheight 20cm
\topmargin 0in   \evensidemargin 1.3cm
\hoffset -0.5cm  \voffset 1.6cm
\baselineskip=18pt \parindent=18pt
%\parskip=3pt plus 2pt minus 3pt

% ------------- macro \fnote for acknowledgements footnote
\catcode`@=11  %to allow use of @ as a letter; reset at the end
\font\fnotefont=cmr10 scaled \magstephalf
\def\fnote#1#2{\let\@sf\empty % parameter #2 (the text) is read later
  \ifhmode\edef\@sf{\spacefactor=\the\spacefactor}\/\fi
  {$\,^{#1}$}\@sf\vfootnote{#1}{#2}}
\def\vfootnote#1#2{\insert\footins\bgroup
  \interlinepenalty\interfootnotelinepenalty
  \splittopskip=\ht\strutbox % top baseline for broken footnotes
  \splitmaxdepth=\dp\strutbox \floatingpenalty=20000
  \ifdim\lastskip<2truept \removelastskip\vskip 2truept\fi
  \leftskip=\parindent \rightskip=0pt \spaceskip=0pt \xspaceskip=0pt
  \baselineskip=11pt\parindent=0pt\fnotefont
  \textindent{$\,^{#1}$}#2 \footstrut\vskip 3truept \egroup}
\def\footstrut{\vbox to\splittopskip{}}

% ----------- layout definitions (titles, theorems, proofs etc)
% the macro \head is used to make paper's title
% like this: \head{TITLE OF PAPER} %% Insert TITLE in Capitals!
\def\head#1 {\begin{center} {\bf #1}
              \end{center} \vskip 10pt}
% macro \authors is used like: \authors{William Jones}, or
% \authors{William Jones$^*$ \& George H. Wilson$^{**}$}
\def\authors#1 {\begin{center} {\bf #1} \end{center}}
% macro \fnote defined above, is used like this:
% \fnote{Partially supported by \dots}
% use macro \sect to make sections' titles
% like this: \sect{1. Introduction}
\def\sect #1 \par{\medbreak\vskip 4pt
     \begin{center} {\bf #1} \end{center} \par} \vskip 2pt
% use macros \proposition for making theorems, lemmas, etc.
% example: \theorem{2.1} Each multiple \dots
% (enviroment valid until next new paragraph)
\long\outer\def\proposition#1 #2 \par{\smallbreak\vskip 4pt
    {{\sc Proposition #1.}\enspace {\sl #2}}\par
}
\long\outer\def\theorem#1 #2 \par{\smallbreak\vskip 4pt
    {{\sc Theorem #1.}\enspace {\sl #2}}\par
}
\long\outer\def\lemma#1 #2 \par{\smallbreak\vskip 4pt
    {{\sc Lemma #1.}\enspace {\sl #2}}\par
}
\long\outer\def\corollary#1 #2 \par{\smallbreak\vskip 4pt
    {{\sc Corollary #1.}\enspace {\sl #2}}\par
}
% macros \definition, \example, etc.
\long\outer\def\definition#1{\smallbreak\vskip 4pt
    {\sc Definition #1.}\enspace
}
\long\outer\def\example#1{\smallbreak\vskip 4pt
    {\sc Example #1.}\enspace
}
\long\outer\def\remark#1{\smallbreak\vskip 4pt
    {\sc Remark #1.}\enspace
}
% macro \proof
\outer\def\proof{\smallbreak\vskip 4pt {P r o o f.}\enspace}
%%% displayed fractions %%%%%%%%%%%%%%%%%%%%%%%
\def\dfrac#1#2{\displaystyle{\frac {#1}{#2}}}
%%% definition of displayed fractions; example:
% $\dfrac{a^3}{\Gamma(\dfrac{\lambda}2)} $

%------------ References ---------------------------------
%%% When "{thebibliography}" commands are used,
%%% to change the style of title "References" use:

\def\bibname{\bf References} % <--- NEW DEFINITION !!!
\def\thebibliography#1{\hfil \bibname \hfill \list
{[\arabic{enumi}]}{\settowidth\labelwidth{[#1]}\leftmargin
\labelwidth  \advance\leftmargin\labelsep
\usecounter{enumi}}
\def\newblock{\hskip .11em plus .33em minus .07em}
\sloppy\clubpenalty4000\widowpenalty4000
\sfcode`\.=1000\relax}
\let\endthebibliography=\endlist

%--------- Separate numbering of eq-s in each section ---
% if equations are numbered separately in each section, then
%\def\theequation{\arabic{section}.\arabic{equation}}
%%%%% is to be used together with the commands:
% \setcounter{equation}{0} % i.e. eq-s begin from (#.1)
% \setcounter{section}{#}  % # is the number of section
%%%%% put before each section's command
%%%%% "\sect{#. Title of section}" %%%%%%%%
% === END OF STYLE FILE TO BE INPUT in a paper "lxfcaa1.tex"===
% === prepared in LaTeX (2.09) === for Journal "FCAA" ========
