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I have a big equation that is not fitting in one column.My code is shown below

 beginequation
left[maxleft(D_i, j^-x T, D_i, j^+x T, 0right)^2+max left(D_i, j^-y T, D_i, j^+y T, 0right)^2right]^1/ 2 \ =frac1F_i, j
endequation

my output is as shown

The equation is highlighted.How can I fit in one column

documentclass[twocolumn]article
usepackageamsmath
usepackagelipsum 
begindocument
lipsum[1-2]
beginmultline
 left[maxleft(D_i,j^-x T, D_i,j^+x T, 0right)^2 right.\
 left. +max left(D_i, j^-y T, D_i,j^+y T, 0right)^2right]^1/2 =frac1F_i,j
endmultline
lipsum[1-2]
enddocument

How about you assign m_1 and m_2 for the two maxes, like this:

documentclass[]IEEEtran 
usepackageamsmath
usepackagelipsum
begindocument
lipsum[1-2]
beginequation*
 beginaligned
 left[maxleft(m_1right)^2+max left(m_2right)^2right]^1/ 2 = frac1F_i, j text, where\ 
 m_1= D_i, j^-x T, D_i, j^+x T, 0 text and m_2 = D_i, j^-y T, D_i, j^+y T, 0\
 endaligned
endequation*\
lipsum[3-9]
enddocument

EDIT:

I have adding geometry package, the option twocolumn and the same fonts of your picture with the packages newtxtext and newtxmath.

Here there is a new version.

documentclass[twocolumn]article
usepackage[margin=2cm]geometry
usepackagenewtxtext, newtxmath
usepackageamsmath
usepackagelipsum

begindocument
lipsum[1-2]
beginequation
left[maxleft(a, b, 0right)^2 +max left(c, d, 0right)^2right]^1/2=frac1F_i, j
endequation
where $a=D_i, j^-x T$, $b=D_i, j^+x T$, $c=D_i, j^-y T$ and
$d=D_i, j^+y T$.
lipsum[1-2]
enddocument

Judging from the image, you're an unfortunate user of IEEEtran or similar class that mixes Times for text and Computer Modern for math.

I have three proposals; I'd prefer the last one. In all of them I removed the wrong left and right commands.

documentclassIEEEtran
usepackagemathtools

usepackagelipsum

begindocument

lipsum*[1]
beginequation
beginmultlined
bigl[max(D_i, j^-x T, D_i, j^+x T, 0)^2
\
+max (D_i, j^-y T, D_i, j^+y T, 0)^2bigr]^1/2
=frac1F_i, j
endmultlined
endequation
lipsum*[1][1-2]
beginequation
beginsplit
smash[b]frac1F_i, j
&=bigl[max(D_i, j^-x T, D_i, j^+x T, 0)^2\
&qquad+max (D_i, j^-y T, D_i, j^+y T, 0)^2bigr]^1/2
endsplit
endequation
lipsum*[1][1-2]
beginequation
beginsplit
smash[b]frac1F_i, j^2
&=max(D_i, j^-x T, D_i, j^+x T, 0)^2\
&qquad+max (D_i, j^-y T, D_i, j^+y T, 0)^2
endsplit
endequation
lipsum*

enddocument

If you're bold and decide to use Times everywhere, then the formula fits.

documentclassIEEEtran
usepackagemathtools
usepackagenewtxtext,newtxmath

usepackagelipsum

begindocument

lipsum*[1]
beginequation
bigl[max(D_i, j^-x T, D_i, j^+x T, 0)^2
+max (D_i, j^-y T, D_i, j^+y T, 0)^2bigr]^1/2
=frac1F_i, j
endequation
lipsum*[1][1-2]
beginequation
frac1F_i, j
=bigl[max(D_i, j^-x T, D_i, j^+x T, 0)^2
+max (D_i, j^-y T, D_i, j^+y T, 0)^2bigr]^1/2
endequation
lipsum*[1][1-2]
beginequation
frac1F_i, j^2
=max(D_i, j^-x T, D_i, j^+x T, 0)^2
+max (D_i, j^-y T, D_i, j^+y T, 0)^2
endequation
lipsum*

enddocument